02002nam0 2200445 i 450 VAN012727020230628090510.40N978981137028120200303d2019 |0itac50 baengSG|||| |||||Advances in Commutative AlgebraDedicated to David F. AndersonAyman Badawi, Jim Coykendall editorsSingaporeBirkhäuser2019xxii, 263 p.ill.24 cm001VAN00590232001 Trends in mathematics210 BaselBirkhäuserVAN0237076Advances in Commutative Algebra173383813-XXCommutative algebra [MSC 2020]VANC019732MF01A70Biographies, obituaries, personalia, bibliographies [MSC 2020]VANC019752MF01A60History of mathematics in the 20th century [MSC 2020]VANC021492MF13FxxArithmetic rings and other special commutative rings [MSC 2020]VANC022037MF00B30Festschriften [MSC 2020]VANC022532MFClassical RingsKW:KCombinatoricsKW:KCommutative ringsKW:KIntegral domainsKW:KPseudographsKW:KZero-divisor GraphKW:KCHChamVANL001889BadawiAymanVANV096197CoykendallJimVANV098713Birkhäuser <editore>VANV108193650ITSOL20230630RICAhttp://doi.org/10.1007/978-981-13-7028-1E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN0127270BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08CONS e-book 1817 08eMF1817 20200303 Advances in Commutative Algebra1733838UNICAMPANIA05495nam 2200697Ia 450 991081058770332120240410134252.01-280-75184-397866107518460-08-046935-3(CKB)1000000000357789(EBL)285810(OCoLC)469399157(SSID)ssj0000138819(PQKBManifestationID)11132675(PQKBTitleCode)TC0000138819(PQKBWorkID)10101443(PQKB)10140097(OCoLC)162131418(Au-PeEL)EBL285810(CaPaEBR)ebr10160340(CaONFJC)MIL75184(MiAaPQ)EBC285810(PPN)183541677(EXLCZ)99100000000035778920140717d2007 uy 0engur|n|---|||||txtccrDifference equations in normed spaces stability and oscillations /M.I. Gil'1st ed.Amsterdam ;Oxford Elsevier20071 online resource (379 p.)North-Holland mathematics studies ;206Description based upon print version of record.0-444-52713-3 Includes bibliographical references and index.Cover; Copyright Page; Preface; Table of Contents; Chapter 1 Definitions and Preliminaries; 1.1 Banach and Hilbert spaces; 1.2 Examples of normed spaces; 1.3 Linear operators; 1.4 Examples of difference equations; 1.5 Stability notions; 1.6 The comparison principle; 1.7 Liapunov functions; 1.8 Ordered spaces and Banach lattices; 1.9 The Abstract Gronwall Lemma; 1.10 Discrete inequalities in a Banach lattice; Chapter 2 Classes of Operators; 2.1 Classification of spectra; 2.2 Compact operators in a Hilbert space; 2.3 Compact matrices; 2.4 Integral operatorsChapter 3 Functions of Finite Matrices3.1 Matrix-valued functions; 3.2 Estimates for the resolvent; 3.3 Examples; 3.4 Estimates for regular matrix functions; 3.5 Proof of Theorem 3.2.4; 3.6 Proofs of Theorems 3.2.1 and 3.2.3; 3.7 Proof of Theorem 3.4.1; 3.8 Non-Euclidean norms of powers of matrices; 3.9 Absolute values of matrix functions; 3.10 Proof of Theorem 3.9.1; Chapter 4 Norm Estimates for Operator Functions; 4.1 Regular operator functions; 4.2 Functions of Hilbert-Schmidt operators; 4.3 Operators with Hilbert-Schmidt powers; 4.4 Resolvents of Neumann-Schatten operators4.5 Functions of quasi-Hermitian operators4.6 Functions of quasiunitary operators; 4.7 Auxiliary results; 4.8 Equalities for eigenvalues; 4.9 Proofs of Theorems 4.2.1, 4.2.2 and 4.4.1; Chapter 5 Spectrum Perturbations; 5.1 Roots of algebraic equations; 5.2 Roots of functional equations; 5.3 Spectral variations; 5.4 Perturbations of Hilbert-Schmidt operators; 5.5 Perturbations of Neumann - Schatten operators; 5.6 Perturbations of quasi-Hermitian operators; 5.7 Perturbations of finite matrices; Chapter 6 Linear Equations with Constant Operators; 6.1 Homogeneous equations in a Banach space6.2 Nonhomogeneous equations with constant operators6.3 Perturbations of autonomous equations; 6.4 Equations with Hilbert-Schmidt operators; 6.5 Equations with Neumann-Schatten operators; 6.6 Equations with non-compact operators; 6.7 Equations in finite dimensional spaces; 6.8 Z-transform; 6.9 Exponential dichotomy; 6.10 Equivalent norms in a Banach space; Chapter 7 Liapunov's Type Equations; 7.1 Solutions of Liapunov's type equations; 7.2 Bounds for solutions of Liapunov's type equations; 7.3 Equivalent norms in a Hilbert space; 7.4 Particular cases; Chapter 8 Bounds for Spectral Radiuses8.1 Preliminary results8.2 Hille - Tamarkin matrices; 8.3 Proof of Theorem 8.2.1; 8.4 Lower bounds for spectral radiuses; 8.5 Finite matrices; 8.6 General operator and block matrices; 8.7 Operator matrices "close" to triangular ones; 8.8 Proof of Theorem 8.7.1; 8.9 Operator matrices with normal entries; 8.10 Scalar integral operators; 8.11 Matrix integral operators; Chapter 9 Linear Equations with Variable Operators; 9.1 Evolution operators; 9.2 Stability conditions; 9.3 Perturbations of evolution operators; 9.4 Equations "close" to autonomous; 9.5 Linear equations with majorantsChapter 10 Linear Equations with Slowly Varying CoefficientsDifference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space.Deals systematically with differeNorth-Holland mathematics studies ;206.Difference equationsNormed linear spacesDifference equations.Normed linear spaces.515.625515.625Gil' M. I(Mikhail Iosifovich)150731MiAaPQMiAaPQMiAaPQBOOK9910810587703321Difference equations in normed spaces1222079UNINA