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[null,"1.","Record Nr.",null,"UNISA996479371003316"]
[null,null,"Autore",null,"Mortad Mohammed Hichem <1978->"]
[null,null,"Titolo",null,"Counterexamples in operator theory / / Mohammed Hichem Mortad"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"9783030978143"]
[{"$nulls":4},"9783030978136"]
[null,null,"Descrizione fisica",null,"1 online resource (613 pages)"]
[null,null,"Disciplina",null,"515.724"]
[null,null,"Soggetti",null,"Operator theory"]
[{"$nulls":4},"Teoria d'operadors"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- Part I Bounded Linear Operators -- 1 Some Basic Properties -- 1.1 Basics -- 1.2 Questions -- 1.2.1 Does the ``Banachness'' of B(X,Y) Yield That of Y? -- 1.2.2 An Operator A≠0 with A2=0 and So \"026B30D A2\"026B30D ≠\"026B30D A\"026B30D 2 -- 1.2.3 A,BB(H) with ABAB=0 but BABA≠0 -- 1.2.4 An Operator Commuting with Both A+B and AB, But It Does Not Commute with Any of A and B -- 1.2.5 The Non-transitivity of the Relation of Commutativity -- 1.2.6 Two Operators A,B with \"026B30D AB-BA\"026B30D =2\"026B30D A\"026B30D \"026B30D B\"026B30D -- 1.2.7 Two Nilpotent Operators Such That Their Sum and Their Product Are Not Nilpotent -- 1.2.8 Two Non-nilpotent Operators Such That Their Sum and Their Product Are Nilpotent -- 1.2.9 An Invertible Operator A with \"026B30D A-1\"026B30D ≠1/\"026B30D A\"026B30D -- 1.2.10 An AB(H) Such That I-A Is Invertible and Yet \"026B30D A\"026B30D ≥1 -- 1.2.11 Two Non-invertible A,BB(H) Such That AB Is Invertible -- 1.2.12 Two A,B Such That A+B=AB but AB≠BA -- 1.2.13 Left (Resp. Right) Invertible Operators with Many Left (Resp. Right) Inverses -- 1.2.14 An Injective Operator That Is Not Left Invertible -- 1.2.15 An A≠0 Such That \"426830A Ax,x\"526930B =0 for All xH -- 1.2.16 The Open Mapping Theorem Fails to Hold True for Bilinear Mappings -- Answers -- 2 Basic Classes of Bounded Linear Operators -- 2.1 Basics -- 2.2 Questions -- 2.2.1 A Non-unitary Isometry -- 2.2.2 A Nonnormal A Such That kerA=kerA* -- 2.2.3 Do Normal Operators A and B Satisfy \"026B30D "]
[{"$nulls":4},"ABx\"026B30D =\"026B30D BAx\"026B30D  for All x? -- 2.2.4 Do Normal Operators A and B Satisfy \"026B30D ABx\"026B30D =\"026B30D AB*x\"026B30D  for All x? -- 2.2.5 Two Operators B and V Such That \"026B30D BV\"026B30D ≠\"026B30D B\"026B30D  Where V Is an Isometry -- 2.2.6 An Invertible Normal Operator That Is not Unitary."]
[{"$nulls":4},"2.2.7 Two Self-Adjoint Operators Whose Product Is Not Even Normal -- 2.2.8 Two Normal Operators A,B Such That AB Is Normal, but AB≠BA -- 2.2.9 Two Normal Operators Whose Sum Is Not Normal -- 2.2.10 Two Unitary U,V for Which U+V Is Not Unitary -- 2.2.11 Two Anti-commuting Normal Operators Whose Sum Is Not Normal -- 2.2.12 Two Unitary Operators A and B Such That AB, BA, and A+B Are All Normal yet AB≠BA -- 2.2.13 A Non-self-adjoint A Such That A2 Is Self-Adjoint -- 2.2.14 Three Self-Adjoint Operators A, B, and C Such That ABC Is Self-Adjoint, Yet No Two of A, B, and C Need to Commute -- 2.2.15 An Orthogonal Projection P and a Normal A Such That PAP Is Not Normal -- 2.2.16 A Partial Isometry That Is Not an Isometry -- 2.2.17 A Non-partial Isometry V Such That V2 Is a Partial Isometry -- 2.2.18 A Partial Isometry V Such That V2 Is a Partial Isometry, but Neither V3 Nor V4 Is One -- 2.2.19 No Condition of U=U*, U2=I  and U*U=I Needs to Imply Any of the Other Two -- 2.2.20 A B Such That BB*+B*B=I and B2=B*2=0 -- 2.2.21 A Nonnormal Solution of (A*A)2=A*2A2 -- 2.2.22 An AB(H) Such That An=I, While An-1≠I, n≥2 -- 2.2.23 A Unitary A Such That An≠I for All nN, n≥2 -- 2.2.24 A Normal Non-self-adjoint Operator AB(H) Such That A*A=An -- 2.2.25 A Nonnormal A Satisfying A*pAq=An -- Answers -- 3 Operator Topologies -- 3.1 Questions -- 3.1.1 Strong Convergence Does Not Imply Convergence in Norm, and Weak Convergence Does Not Entail Strong Convergence -- 3.1.2 s-limn∞ An=As-limn∞ A*n=A* -- 3.1.3 (A,B)AB Is Not Weakly Continuous -- 3.1.4 The Uniform Limit of a Sequence of Invertible Operators -- 3.1.5 A Sequence of Self-adjoint Operators Such That None of Its Terms Commutes with the (Uniform) Limit of the Sequence -- 3.1.6 Strong (or Weak) Limit of Sequences of Unitary or Normal Operators -- Answers -- 4 Positive Operators -- 4.1 Basics -- 4.2 Questions."]
[{"$nulls":4},"4.2.1 Two Positive Operators A,B Such That AB=0 -- 4.2.2 Two A,B Such That A≤0, A≥0, B≤0, B≥0, yet AB≥0 -- 4.2.3 KAK*≤A Where A≥0 and K Is a Contraction -- 4.2.4 KAK*≤A AK=KA Where A≥0 and K Is an Isometry -- 4.2.5 KAK*≤A AK*=KA Where A≥0 and K Is Unitary -- 4.2.6 The Operator Norm Is Not Strictly Increasing -- 4.2.7 A≥B≥0A2≥B2 -- 4.2.8 A,B≥0AB+BA≥0 -- 4.2.9 Two Non-self-adjoint A and B Such That An+Bn≥0 for All n -- 4.2.10 Two Positive A,B (with A≠0 and B≠0) and Such That AB≥0 but A2+B2 Is Not Invertible -- 4.2.11 Two A, B Satisfying \"026B30D AB-BA\"026B30D =1/2\"026B30D A\"026B30D \"026B30D B\"026B30D -- 4.2.12 Two A, B Satisfying \"026B30D AB-BA\"026B30D =\"026B30D A\"026B30D \"026B30D B\"026B30D -- 4.2.13 On Normal Solutions of the Equations AA*=qA*A, qR -- Answers -- 5 Matrices of Bounded Operators -- 5.1 Basics -- 5.2 Questions -- 5.2.1 A Non-invertible Matrix Whose Formal Determinant Is Invertible -- 5.2.2 An Invertible Matrix Whose Formal Determinant Is Not Invertible -- 5.2.3 Invertible Triangular Matrix vs. Left and Right Invertibility of Its Diagonal Elements -- 5.2.4 Non-invertible Triangular Matrix vs. Left and Right Invertibility of Its Diagonal Elements -- 5.2.5 An Invertible Matrix yet None of Its Entries Is Invertible -- 5.2.6 A Normal Matrix yet None of Its Entries Is Normal -- 5.2.7 A Unitary Matrix yet None of Its Entries Is Unitary -- 5.2.8 Two Non-comparable Self-Adjoint Matrices yet the Corresponding Entries Are Comparable -- 5.2.9 An Isometry S Such That S2 Is Unitarily Equivalent to SS -- 5.2.10 An Infinite Direct Sum of Invertible Operators Need Not Be Invertible -- "]
[{"$nulls":4},"5.2.11 The Similarity of AB to CD Does Not Entail the Similarity of A to C or That of B to D -- 5.2.12 A Matrix of Operators T on H2 Such That T3=0 But T2≠0 -- 5.2.13 Block Circulant Matrices Are Not Necessarily Circulant -- Answers -- 6 (Square) Roots of Bounded Operators."]
[{"$nulls":4},"6.1 Basics -- 6.2 Questions -- 6.2.1 A Self-Adjoint Operator with an Infinitude of Self-Adjoint Square Roots -- 6.2.2 An Operator Without Any Square Root -- 6.2.3 A Nilpotent Operator with Infinitely Many Square Roots -- 6.2.4 An Operator Having a Cube Root but Without Any Square Root -- 6.2.5 An Operator Having a Square Root but Without Any Cube Root -- 6.2.6 A Non-invertible Operator with Infinitely Many Square Roots -- 6.2.7 An Operator A Without Any Square Root, but A+αI Always Has One (αC*) -- 6.2.8 A2≥0A≥0 Even When A Is Normal -- 6.2.9 A3≥0A≥0 Even When A Is Normal -- 6.2.10 An Operator Having Only Two Square Roots -- 6.2.11 Can an Operator Have Only One Square Root? -- 6.2.12 Can an Operator Have Only Two Cube Roots? -- 6.2.13 A Rootless Operator -- 6.2.14 On Some Result By B. Yood on Rootless Matrices -- 6.2.15 A Non-nilpotent Rootless Matrix -- 6.2.16 Two (Self-Adjoint) Square Roots of a Self-Adjoint Operator Need Not Commute -- 6.2.17 A BB(H) Commuting with A Need Not Commute with an Arbitrary Root of A -- 6.2.18 A Self-Adjoint Operator Without Any Positive Square Root -- 6.2.19 Three Positive Operators A,B,CB(H) Such That A≥B≥0 and C Is Invertible Yet (CA2C)12≥(CB2C)12 -- 6.2.20 Three Positive Operators A,B,CB(H) Such That A≤C and B≤C Yet (A2+B2)12 ≤2 C -- 6.2.21 On Some Result by F. Kittaneh on Normal Square Roots -- 6.2.22 On the Normality of Roots of Normal Operators Having Co-prime Powers -- 6.2.23 An Isometry Without Square or Cube Roots -- 6.2.24 Two Operators A and B Without Square Roots, Yet AB Has a Square Root -- Answers -- 7 Absolute Value, Polar Decomposition -- 7.1 Basics -- 7.2 Questions -- 7.2.1 An A Such That |Re A|≤|A| and |`3́9`42`\"̇613A``45`47`\"603AImA|≤|A| -- 7.2.2 A Weakly Normal T Such That T2 Is Not Normal -- 7.2.3 Two Self-Adjoints A,B Such That |A+B| ≤|A|+|B|."]
[{"$nulls":4},"7.2.4 Two Self-Adjoint Operators A,B That Do Not Satisfy |A||B|+|B||A|≥AB+BA -- 7.2.5 Two Self-Adjoint Operators A and B Such That \"026B30D |A|-|B|\"026B30D ≤\"026B30D A-B\"026B30D -- 7.2.6 Two Non-commuting Operators A and B That Are Not Normal and Yet |A+B|=|A|+|B| -- 7.2.7 Two Positive Operators A and B with |A-B|≤A+B -- 7.2.8 Two Self-adjoint Operators A and B Such That I+|AB-I|≤(I+|A-I|)(I+|B-I|) -- 7.2.9 Two Self-Adjoints A,BB(H) Such That |AB|≠|A||B| -- 7.2.10 Two Operators A and B Such That AB=BA, However, |A||B|≠|B||A| -- 7.2.11 A Pair of Operators A and B Such That A|B|=|B|A and B|A|=|A|B, But AB≠BA and AB*≠B*A -- 7.2.12 An Operator A Such That A|A|≠|A|A -- 7.2.13 An A Such That |A||A*|=|A*||A| But AA*≠A*A -- 7.2.14 An Operator A Such That |A2|≠|A|2 -- 7.2.15 A Non-surjective A Such That |A| Is Surjective -- 7.2.16 Two Self-Adjoint Operators A,B with B≥0 Such That -B≤A≤B but |A|≤B -- 7.2.17 The Failure of the Inequality |\"426830A Ax,x\"526930B |≤\"426830A |A|x,x\"526930B -- 7.2.18 On the Generalized Cauchy-Schwarz Inequality -- 7.2.19 On the Failure of Some Variants of the Generalized Cauchy-Schwarz Inequality -- 7.2.20 A Sequence of Self-Adjoint Operators (An) Such That \"026B30D |An|-|A|\"026B30D 0 But \"026B30D An-A\"026B30D 0 -- 7.2.21 The Non-weakly Continuity of A|A| -- 7.2.22 A Sequence of Operators (An) Converging Strongly to A, but (|An|) Does Not Converge Strongly to |A| -- 7.2.23 An Invertible A=U|A| with U|A|≠|A|U, UA≠AU, and A|A|≠|A|A -- 7.2.24 Left or Right Invertible Operators Do Not Enjoy a (``Unitary'') Polar Decomposition -- 7.2.25 A Normal Operator Whose Polar Decomposition Is Not Unique -- 7.2.26 On a Result of the Uniqueness of the Polar Decomposition By "]
[{"$nulls":4},"Ichinose-Iwashita -- 7.2.27 An Operator A Expressed as A=V|A| with A3=0 but V3≠0 -- 7.2.28 An Invertible Operator A Expressed as A=U|A| with A3=I but U3≠I -- Answers."]
[{"$nulls":4},"8 Spectrum."]
[null,"2.","Record Nr.",null,"UNINA9910150348803321"]
[null,null,"Autore",null,"Ward Jennifer R."]
[null,null,"Titolo",null,"Transforming summary justice : modernisation in the lower criminal courts / / Jennifer Ward"]
[null,null,"Pubbl/distr/stampa",null,"Abingdon, Oxon ; ; New York, NY : , : Routledge, , 2017"]
[null,null,"ISBN",null,"1-315-72728-5"]
[{"$nulls":4},"1-317-53945-1"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (162 pages) : illustrations"]
[null,null,"Collana",null,"Routledge Frontiers of Criminal Justice ; ; 41"]
[null,null,"Disciplina",null,"345.42/0142"]
[{"$nulls":4},"345.420142"]
[null,null,"Soggetti",null,"Criminal justice, Administration of - England"]
[{"$nulls":4},"Criminal justice, Administration of - Wales"]
[{"$nulls":4},"Criminal courts - England"]
[{"$nulls":4},"Criminal courts - Wales"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"1. Introduction -- 2. Transformations to lower court summary justice -- 3. The magistrates' courts, magistrates and lay justice -- 4. Magistrates, motivations and contributions to justice -- 5. Magistrates' courts, modernisation and the future -- 6. Social justice meets criminal justice -- 7. Conclusion."]
[null,null,null,"Sommario/riassunto","\"Sweeping changes are being introduced into the lower-tier magistrates' courts in England and Wales in efforts to modernise the system and speed up case processing. They concentrate on delivering prompt justice within a modern, efficient and technologically advanced system. But these transformations are fundamentally changing the way justice is delivered. This book analyses criminal court streamlining processes and argues that there are areas where due process protections are being undermined. Transforming Summary Justice reports empirical research carried out with lay magistrates and criminal justice professionals. Views and experiences drawn from magistrates are valuable because of the central role they perform in lower court justice. Further, magistrates provide a wider understanding of the context in which the lower criminal courts operate and enable a critical appraisal of this unique style of 'lay justice'. This book is directed at students of criminology, criminal justice and socio-legal studies, who will find the debates stimulating and useful to engage with in "]
[{"$nulls":4},"contemporary analyses of criminal court justice. It will also be of interest to justice and legal professionals who are seeing swingeing alterations to the field in which they work. The book will have appeal in other common-law jurisdictions, where similar modifications to lower court justice are occurring, and also across Europe, where lay involvement in legal decision-making is being debated and becoming accepted practice.\""]
[null,"3.","Record Nr.",null,"UNIORUON00213197"]
[null,null,"Autore",null,"SIERTSEMA, B."]
[null,null,"Titolo",null,"A study of glossematics : critical survey of its fundamental concepts / by B. Siertsema"]
[null,null,"Pubbl/distr/stampa",null,"The Hague, : Martinus Nijhoff, 1955.    XI, 240 p. ; 24 cm"]
[null,null,"Disciplina",null,"410"]
[null,null,"Soggetti",null,"Linguistica Generale"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]