The Hardy space of a slit domain
If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M ? M? Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long...
সংরক্ষণ করুন:
| প্রধান লেখক: | , , , , |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| সংস্করন: | 1st ed. 2009. |
| মালা: | Frontiers in Mathematics
|
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Hardy Space of a Slit Domain, Texte imprimé, 9783034600996 • The Hardy space of a slit domain, Alexandru Aleman, Nathan S. Feldman, William T. Ross, Basel, Birkhäuser, 2009, 1 vol. (XIX-124 p.), Frontiers in mathematics, 978-3-0346-0097-2 |
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| 020 | |a 9783034600989 | ||
| 020 | |a 9783034600989 | ||
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| 100 | 1 | |a Aleman, Alexandru. | |
| 245 | 1 | 0 | |a The Hardy space of a slit domain |c by Alexandru Aleman, William T. Ross, Nathan S. Feldman. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Frontiers in Mathematics |x 1660-8054 | |
| 500 | |a Description d'après consultation du 26 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preliminaries Nearly invariant subspaces Nearly invariant and the backward shift Nearly invariant and de Branges spaces Invariant subspaces of the slit disk Cyclic invariant subspaces The essential spectrum Other applications Domains with several slits Final thoughts | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M ? M? Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long line of study of the invariant subspaces of the operator T = M (multiplication by the independent variable z, i. e. , M f = zf )on a z z Hilbert space of analytic functions on a bounded domain G in C. The characterization of these M -invariant subspaces is particularly interesting since it entails both the properties z of the functions inside the domain G, their zero sets for example, as well as the behavior of the functions near the boundary of G. The operator M is not only interesting in its z own right but often serves as a model operator for certain classes of linear operators. By this we mean that given an operator T on H with certain properties (certain subnormal operators or two-isometric operators with the right spectral properties, etc. ), there is a Hilbert space of analytic functions on a domain G for which T is unitarity equivalent to M | ||
| 700 | 1 | |a Feldman, Nathan. |4 aut | |
| 700 | 1 | |a Ross, William T., |d 1964-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Ross, William T. |4 aut | |
| 700 | 1 | |a Feldman, Nathan S. |4 aut | |
| 776 | 0 | |t The Hardy Space of a Slit Domain |b Texte imprimé |z 9783034600996 | |
| 776 | 0 | |0 136754120 |t The Hardy space of a slit domain |f Alexandru Aleman, Nathan S. Feldman, William T. Ross |c Basel |n Birkhäuser |d 2009 |p 1 vol. (XIX-124 p.) |s Frontiers in mathematics |z 978-3-0346-0097-2 | |
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