| 书目名称 | The Hardy Space of a Slit Domain |
| 编辑 | Alexandru Aleman,William T. Ross,Nathan S. Feldman |
| 视频video | |
| 概述 | Only book which covers Hardy spaces of slit domains.Includes supplementary material: |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | 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 . |
| 出版日期 | Book 2009Latest edition |
| 关键词 | Hardy Space; Invariant; Invariant subspace; Multiplication; Slit plane; character; essential spectrum; func |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0346-0098-9 |
| isbn_softcover | 978-3-0346-0097-2 |
| isbn_ebook | 978-3-0346-0098-9Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | Birkh�user Basel 2009 |
发表于 2025-3-21 16:46:55
