The Hardy Space of a Slit Domain is popular PDF and ePub book, written by Alexandru Aleman in 2010-01-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Hardy Space of a Slit Domain can be Read Online from any device for your convenience.
The Hardy Space of a Slit Domain Book PDF Summary
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 .
Detail Book of The Hardy Space of a Slit Domain PDF
- Author : Alexandru Aleman
- Release : 08 January 2010
- Publisher : Springer Science & Business Media
- ISBN : 9783034600989
- Genre : Mathematics
- Total Page : 135 pages
- Language : English
- PDF File Size : 7,6 Mb
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