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Function Spaces and Operators between them / José Bonet, David Jornet, Pablo Sevilla-Peris
| Function Spaces and Operators between them / José Bonet, David Jornet, Pablo Sevilla-Peris |
| Autore | Bonet, José |
| Pubbl/distr/stampa | Cham, : Springer, : Real Sociedad Matemática Española, 2023 |
| Descrizione fisica | xv, 269 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Jornet, David
Sevilla-Peris, Pablo |
| Soggetto non controllato |
Composition Operators
Fréchet Spaces Function spaces Functional Analysis Hypercyclic Operators Linear partial differential operators Mean ergodic operators Operator theory Schwartz Distribution Theory Spaces of Holomorphic Functions |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0279437 |
Bonet, José
|
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| Cham, : Springer, : Real Sociedad Matemática Española, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Function Spaces and Operators between them / José Bonet, David Jornet, Pablo Sevilla-Peris
| Function Spaces and Operators between them / José Bonet, David Jornet, Pablo Sevilla-Peris |
| Autore | Bonet, José |
| Pubbl/distr/stampa | Cham, : Springer, : Real Sociedad Matemática Española, 2023 |
| Descrizione fisica | xv, 269 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Jornet, David
Sevilla-Peris, Pablo |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
47-XX - Operator theory [MSC 2020] |
| Soggetto non controllato |
Composition Operators
Fréchet Spaces Function spaces Functional Analysis Hypercyclic Operators Linear partial differential operators Mean ergodic operators Operator theory Schwartz Distribution Theory Spaces of Holomorphic Functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00279437 |
|
Bonet, José
|
||
| Cham, : Springer, : Real Sociedad Matemática Española, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Operator theoretic aspects of ergodic theory / Tanja Eisner ... [et al]
| Operator theoretic aspects of ergodic theory / Tanja Eisner ... [et al] |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XVIII, 628 p. ; 24 cm |
| Soggetto topico |
47-XX - Operator theory [MSC 2020]
46-XX - Functional analysis [MSC 2020] 37-XX - Dynamical systems and ergodic theory [MSC 2020] 37Axx - Ergodic theory [MSC 2020] 46B42 - Banach lattices [MSC 2020] |
| Soggetto non controllato |
Banach lattices
Jacobs–de Leeuw–Glicksberg Decomposition Koopman operator Mean ergodic operators Pointwise ergodic theorem Topological dynamical systems |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113461 |
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Operator theoretic aspects of ergodic theory / Tanja Eisner ... [et al]
| Operator theoretic aspects of ergodic theory / Tanja Eisner ... [et al] |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | XVIII, 628 p. ; 24 cm |
| Soggetto topico |
37-XX - Dynamical systems and ergodic theory [MSC 2020]
37Axx - Ergodic theory [MSC 2020] 46-XX - Functional analysis [MSC 2020] 46B42 - Banach lattices [MSC 2020] 47-XX - Operator theory [MSC 2020] |
| Soggetto non controllato |
Banach Lattices
Jacobs–de Leeuw–Glicksberg Decomposition Koopman operator Mean ergodic operators Pointwise ergodic theorem Topological dynamical systems |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory Topics include: • an intuitive introduction to ergodic theory • an introduction to the basic notions, constructions, and standard examples of topological dynamical systems • Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem • measure-preserving dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination of notions of isomorphism for measure-preserving systems • Markov operators, and the related concept of a factor of a measure preserving system • compact groups and semigroups, and a powerful tool in their study, the Jacobs–de Leeuw–Glicksberg decomposition • an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg’s Correspondence Principle, theorems of Roth and Furstenberg–Sárközy) Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113461 |
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||