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Zero product determined algebras / / Matej Bresar
| Zero product determined algebras / / Matej Bresar |
| Autore | Brešar Matej |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2021] |
| Descrizione fisica | 1 online resource (186 pages) |
| Disciplina | 515.7 |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Functional analysis
Algebra - Study and teaching Àlgebres de Banach |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80242-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- Part I Algebraic Theory -- 1 Zero Product Determined Nonassociative Algebras -- 1.1 The Definition of a zpd Nonassociative Algebra -- 1.2 Symmetrically zpd Nonassociative Algebras -- 1.3 Stability Under Algebraic Constructions -- 2 Zero Product Determined Rings and Algebras -- 2.1 zpd Rings -- 2.2 Examples and Non-examples of zpd Algebras -- 2.3 The Finite-Dimensional Case -- 3 Zero Lie/Jordan Product Determined Algebras -- 3.1 Lie Algebras and Jordan Algebras -- 3.2 zLpd Algebras -- 3.3 zJpd Algebras -- Part II Analytic Theory -- 4 Zero Product Determined Nonassociative Banach Algebras -- 4.1 Characters and the Limitations of the Algebraic Approach -- 4.2 The Definition of a zpd Nonassociative Banach Algebra -- 4.3 Point Derivations -- 5 Zero Product Determined Banach Algebras -- 5.1 Property B -- 5.2 Stability Under Analytic Constructions -- 5.3 Examples and Non-examples of zpd Banach Algebras -- 6 Zero Lie/Jordan Product Determined Banach Algebras -- 6.1 The Condition xy=yx=0 -- 6.2 zLpd Banach Algebras -- 6.3 zJpd Banach Algebras -- Part III Applications -- 7 Homomorphisms and Related Maps -- 7.1 Zero Product Preserving Maps -- 7.2 Commutativity Preserving Maps -- 7.3 Jordan Homomorphisms -- 8 Derivations and Related Maps -- 8.1 Characterizing Derivations by Action on Zero Products -- 8.2 Local Derivations -- 8.3 Derivations and Quasinilpotent Elements -- 9 Miscellany -- 9.1 Commutators and Special-Type Elements -- 9.2 Orthogonality Conditions on n-Linear Maps -- 9.3 Nonassociative Products of Matrices -- References -- Index. |
| Record Nr. | UNISA-996466393503316 |
Brešar Matej
|
||
| Cham, Switzerland : , : Springer International Publishing, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Zero product determined algebras / / Matej Bresar
| Zero product determined algebras / / Matej Bresar |
| Autore | Brešar Matej |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2021] |
| Descrizione fisica | 1 online resource (186 pages) |
| Disciplina | 515.7 |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Functional analysis
Algebra - Study and teaching Àlgebres de Banach |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80242-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- Part I Algebraic Theory -- 1 Zero Product Determined Nonassociative Algebras -- 1.1 The Definition of a zpd Nonassociative Algebra -- 1.2 Symmetrically zpd Nonassociative Algebras -- 1.3 Stability Under Algebraic Constructions -- 2 Zero Product Determined Rings and Algebras -- 2.1 zpd Rings -- 2.2 Examples and Non-examples of zpd Algebras -- 2.3 The Finite-Dimensional Case -- 3 Zero Lie/Jordan Product Determined Algebras -- 3.1 Lie Algebras and Jordan Algebras -- 3.2 zLpd Algebras -- 3.3 zJpd Algebras -- Part II Analytic Theory -- 4 Zero Product Determined Nonassociative Banach Algebras -- 4.1 Characters and the Limitations of the Algebraic Approach -- 4.2 The Definition of a zpd Nonassociative Banach Algebra -- 4.3 Point Derivations -- 5 Zero Product Determined Banach Algebras -- 5.1 Property B -- 5.2 Stability Under Analytic Constructions -- 5.3 Examples and Non-examples of zpd Banach Algebras -- 6 Zero Lie/Jordan Product Determined Banach Algebras -- 6.1 The Condition xy=yx=0 -- 6.2 zLpd Banach Algebras -- 6.3 zJpd Banach Algebras -- Part III Applications -- 7 Homomorphisms and Related Maps -- 7.1 Zero Product Preserving Maps -- 7.2 Commutativity Preserving Maps -- 7.3 Jordan Homomorphisms -- 8 Derivations and Related Maps -- 8.1 Characterizing Derivations by Action on Zero Products -- 8.2 Local Derivations -- 8.3 Derivations and Quasinilpotent Elements -- 9 Miscellany -- 9.1 Commutators and Special-Type Elements -- 9.2 Orthogonality Conditions on n-Linear Maps -- 9.3 Nonassociative Products of Matrices -- References -- Index. |
| Record Nr. | UNINA-9910495163103321 |
|
Brešar Matej
|
||
| Cham, Switzerland : , : Springer International Publishing, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||