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Almost automorphic type and almost periodic type functons in abstract spaces / / Toka Diagana
| Almost automorphic type and almost periodic type functons in abstract spaces / / Toka Diagana |
| Autore | Diagana Toka |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Heidelberg ; ; New York, : Springer, c2013 |
| Descrizione fisica | 1 online resource (xiv, 303 pages) |
| Disciplina |
510
515.352 515.353 515.724 |
| Collana | Gale eBooks |
| Soggetto topico |
Automorphic functions
Periodic functions |
| ISBN | 3-319-00849-8 |
| Classificazione | 26-01, 34-01 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Metric, Banach, and Hilbert Spaces -- 2. Linear Operators on Banach Spaces -- 3. Almost Periodic Functions -- 4. Almost Automorphic Functions -- 5. Pseudo-Almost Periodic Functions -- 6. Pseudo-Almost Automorphic Functions -- 7. Existence Results for Some Second-Order Differential Equations -- 8. Existence Results to Some Integrodifferential Equations -- 9. Existence of C(m)-Pseudo-Almost Automorphic Solutions -- 10. Pseudo-Almost Periodic Solutions to Some Third-Order Differential Equations -- 11. Pseudo-Almost Automorphic Solutions to Some Sobolev-Type Equations -- 12. Stability Results for Some Higher-Order Difference Equations -- 13. Appendix A -- References -- Index. |
| Record Nr. | UNINA-9910438146803321 |
Diagana Toka
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| Heidelberg ; ; New York, : Springer, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Non-Archimedean linear operators and applications [[electronic resource] /] / Toka Diagana
| Non-Archimedean linear operators and applications [[electronic resource] /] / Toka Diagana |
| Autore | Diagana Toka |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 515.7246 |
| Soggetto topico |
Linear operators
Banach spaces Hilbert space |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61470-561-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910456916303321 |
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Diagana Toka
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| Hauppauge, N.Y., : Nova Science | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Non-Archimedean linear operators and applications [[electronic resource] /] / Toka Diagana
| Non-Archimedean linear operators and applications [[electronic resource] /] / Toka Diagana |
| Autore | Diagana Toka |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 515.7246 |
| Soggetto topico |
Linear operators
Banach spaces Hilbert space |
| ISBN | 1-61470-561-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910781672403321 |
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Diagana Toka
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| Hauppauge, N.Y., : Nova Science | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Non-Archimedean linear operators and applications / / Toka Diagana
| Non-Archimedean linear operators and applications / / Toka Diagana |
| Autore | Diagana Toka |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 515.7246 |
| Soggetto topico |
Linear operators
Banach spaces Hilbert space |
| ISBN | 1-61470-561-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- NON-ARCHIMEDEANLINEAROPERATORSANDAPPLICATIONS -- NON-ARCHIMEDEANLINEAROPERATORSANDAPPLICATIONS -- Contents -- Preface -- Chapter1Non-ArchimedeanValuedFields -- 1.1Introduction -- 1.2Non-ArchimedeanValuedFields -- 1.2.1BasicDefinitions -- 1.2.2Thet-VectorSpaceKt -- 1.3ConstructionofQp -- 1.3.1Introduction -- 1.3.2TheFieldQp -- 1.3.3ConvergenceofPowerSeriesoverQp -- 1.4ConstructionofK((x)) -- 1.5BibliographicalNotes -- Chapter2Non-ArchimedeanBanachandHilbertSpaces -- 2.1Non-ArchimedeanBanachSpaces -- 2.1.1BasicDefinitions -- 2.1.2ExamplesofNon-ArchimedeanBanachSpaces -- 2.2FreeBanachSpaces -- 2.2.1Definitions -- 2.2.2Examples -- 2.3Non-ArchimedeanHilbertSpaces -- 2.3.1Introduction -- 2.3.2Non-ArchimedeanHilbertSpaces -- 2.3.3TheHilbertSpaceEw1×Ew2×...×Ewt -- 2.4BibliographicalNotes -- Chapter3Non-ArchimedeanBoundedLinearOperators -- 3.1Introduction -- 3.2BoundedLinearOperatorsonNon-ArchimedeanBanachSpaces -- 3.2.1BasicDefinitions -- 3.2.2Examples -- 3.2.3TheBanachAlgebraB(X) -- 3.2.4FurtherPropertiesofBoundedLinearOperators -- 3.3BoundedLinearOperatorsonHilbertSpacesEw -- 3.3.1Introduction -- 3.3.2RepresentationofBoundedOperatorsByInfiniteMatrices -- 3.3.3ExistenceoftheAdjoint -- 3.3.4ExamplesofBoundedOperatorswithnoAdjoint -- 3.4PerturbationofBases -- 3.4.1Example -- 3.5Hilbert-SchmidtOperators -- 3.5.1BasicDefinitions -- 3.5.2FurtherPropertiesofHilbert-SchmidtOperators -- 3.5.3CompletelyContinuousOperators -- 3.5.4Trace -- 3.5.5Examples -- 3.6OpenProblems -- 3.7BibliographicalNotes -- Chapter4Non-ArchimedeanUnboundedLinearOperators -- 4.1Introduction -- 4.2BasicDefinitions -- 4.2.1Example -- 4.2.2ExistenceoftheAdjoint -- 4.2.3ExamplesofUnboundedOperatorsWithnoAdjoint -- 4.3ClosedLinearOperatorsonEw -- 4.4DiagonalOperatorsonEw -- 4.5OpenProblems -- 4.6BibliographicalNotes -- Chapter5Non-ArchimedeanBilinearForms -- 5.1Introduction.
5.2BasicDefinitions -- 5.2.1ContinuousLinearFunctionalsonEw -- 5.2.2BoundedBilinearFormsonEw×Ew -- 5.2.3UnboundedBilinearFormsonEw×Ew -- 5.3ClosedandClosablenon-ArchimedeanBilinearForms -- 5.3.1ClosednessoftheFormSum -- 5.3.2Constructionofanon-ArchimedeanHilbertSpaceUsingQuadraticForms -- 5.3.3FurtherPropertiesoftheClosure -- 5.4RepresentationofBilinearFormsonEw×EwbyLinearOperators -- 5.5BibliographicalNotes -- Chapter6FunctionsofSomeSelf-adjointLinearOperatorsonEw -- 6.1Introduction -- 6.2ProductsandSumsofDiagonalOperators -- 6.3IntegerPowersofDiagonalOperators -- 6.4FunctionsofSelf-AdjointOperators -- 6.5FunctionsofSomeSymmetricSquareMatricesOverQp×Qp -- 6.5.1ThePowersoftheMatrixT -- 6.5.2ExponentialoftheMatrixT -- 6.6OpenProblems -- 6.7BibliographicalNotes -- Chapter7One-ParameterFamilyofBoundedLinearOperatorsonFreeBanachSpaces -- 7.1Introduction -- 7.2BasicDefinitions -- 7.3Propertiesofnon-ArchimedeanC0-Groups -- 7.4ExistenceofSolutionstoSomep-adicDifferentialEquations -- 7.5OpenProblems -- 7.6BibliographicalNotes -- References -- Index -- Blank Page. |
| Record Nr. | UNINA-9910818731403321 |
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Diagana Toka
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| Hauppauge, N.Y., : Nova Science | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Non-Archimedean operator theory / / by Toka Diagana, François Ramaroson
| Non-Archimedean operator theory / / by Toka Diagana, François Ramaroson |
| Autore | Diagana Toka |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (163 p.) |
| Disciplina | 515.724 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Operator theory
Functional analysis Algebra Field theory (Physics) Functions of real variables Operator Theory Functional Analysis Field Theory and Polynomials Real Functions |
| ISBN | 3-319-27323-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Acknowledgments; Contents; 1 Non-Archimedean Valued Fields; 1.1 Valuation; 1.1.1 Definitions and First Properties; 1.1.2 The Topology Induced by a Valuation on K; 1.1.3 Non-Archimedean Valuations; 1.1.4 Some Analysis on a Complete Non-Archimedean Valued Field; 1.1.5 The Order Function for a Discrete Valuation; 1.2 Examples; 1.2.1 Examples of Archimedean Valuation; 1.2.2 Examples of Non-Archimedean Valued Fields; 1.3 Additional Properties of Non-ArchimedeanValued Fields; 1.4 Some Remarks on Krull Valuations; 1.5 Bibliographical Notes; 2 Non-Archimedean Banach Spaces
2.1 Non-Archimedean Norms2.2 Non-Archimedean Banach Spaces; 2.3 Free Banach Spaces; 2.4 The p-adic Hilbert Space Eω; 2.5 Bibliographical Notes; 3 Bounded Linear Operators in Non-Archimedean Banach Spaces; 3.1 Bounded Linear Operators; 3.1.1 Definitions and Examples; 3.1.2 Basic Properties; 3.1.3 Bounded Linear Operators in Free Banach Spaces; 3.2 Additional Properties of Bounded Linear Operators; 3.2.1 The Inverse Operator; 3.2.2 Perturbations of Orthogonal Bases Using the Inverse Operator; 3.2.3 The Adjoint Operator; 3.3 Finite Rank Linear Operators; 3.3.1 Basic Definitions 3.3.2 Properties of Finite Rank Operators3.4 Completely Continuous Linear Operators; 3.4.1 Basic Properties; 3.4.2 Completely Continuous Linear Operators on Eω; 3.5 Bounded Fredholm Linear Operators; 3.5.1 Definitions and Examples; 3.5.2 Properties of Fredholm Operators; 3.6 Spectral Theory for Bounded Linear Operators; 3.6.1 The Spectrum of a Bounded Linear Operator; 3.6.2 The Essential Spectrum of a Bounded Linear Operator; 3.7 Bibliographical Notes; 4 The Vishik Spectral Theorem; 4.1 The Shnirel'man Integral and Its Properties; 4.1.1 Basic Definitions; 4.1.2 The Shnirel'man Integral 4.2 Distributions with Compact Support4.3 Cauchy-Stieltjes and Vishik Transforms; 4.4 Analytic Bounded Linear Operators; 4.5 Vishik Spectral Theorem; 4.6 Bibliographical Notes; 5 Spectral Theory for Perturbations of Bounded Diagonal Linear Operators; 5.1 Spectral Theory for Finite Rank Perturbations of Diagonal Operators; 5.1.1 Introduction; 5.1.2 Spectral Analysis for the Class of Operators T = D + K; 5.1.3 Spectral Analysis for the Class of Operators T = D + F; 5.2 Computation of σe(D); 5.3 Spectrum of T = D + F; 5.4 Examples; 5.5 Bibliographical Notes; 6 Unbounded Linear Operators 6.1 Unbounded Linear Operators on a Non-archimedean Banach Space6.2 Closed Linear Operators; 6.3 The Spectrum of an Unbounded Operator; 6.4 Unbounded Fredholm Operators; 6.5 Bibliographical Notes; 7 Spectral Theory for Perturbations of Unbounded Linear Operators; 7.1 Introduction; 7.2 Spectral Analysis for the Class of Operators T = D + K; 7.3 Spectral Analysis for the Class of Operators T = D + F; 7.4 Computation of σe(D); 7.5 Main Result; 7.6 Bibliographical Notes; A The Shnirel'man Integral; A.1 Distributions with Compact Support; A.2 Cauchy-Stieltjes and Vishik Transforms; References Index |
| Record Nr. | UNINA-9910254071903321 |
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Diagana Toka
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Semilinear Evolution Equations and Their Applications / / by Toka Diagana
| Semilinear Evolution Equations and Their Applications / / by Toka Diagana |
| Autore | Diagana Toka |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (199 pages) |
| Disciplina |
515.7
515.353 |
| Soggetto topico |
Functional analysis
Operator theory Partial differential equations Difference equations Functional equations Functional Analysis Operator Theory Partial Differential Equations Difference and Functional Equations |
| ISBN | 3-030-00449-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Banach and Hilbert Spaces -- 2. Operator Theory -- 3. Semigroup of Linear Operators -- 4. Almost Periodic Functions and Their Spectral Theory -- 5. Semilinear Difference Equations -- 6. Singular Difference Equations -- 7. Fractional Difference Equations -- 8. First-Order Semilinear Evolution Equations -- 9. Degenerate First-Order Semilinear Evolution Equations -- 10. Fractional Semilinear Evolution Equations -- 11. Second-Order Semilinear Evolution Equations -- 12. Degenerate Second-Order Evolution Equations -- 13. Applications. |
| Record Nr. | UNINA-9910300135803321 |
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Diagana Toka
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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