Re: Schatten Class Operators
From: Dan Luecking (Look-In-Sig_at_uark.edu)
Date: 12/20/04
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- In reply to: Trieu Le: "Schatten Class Operators"
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Date: 20 Dec 2004 16:15:00 -0500
On 16 Dec 2004 16:15:01 -0500, Trieu Le <trieule79@gmail.com> wrote:
>Hi all,
>
>Could someone please give me a good reference on the Schatten Class
>Operators? I read about this kind of Operators in the book "Operator
>theory in function spaces" by K. Zhu but I can't figure out how to
>show that S_p (the p-Schatten Class Operators) is a complete normed
>space for 1<=p<\infty. The reason I can't prove it is that the
>definition of the norm of an operator T (in the above book) depends on
>the canonical representation of the square root of T*T. Though, I
>could prove that S_p is complete for p=1 or 2 because in these cases,
>the book provides good definitions for the norms.
I think the following had some significant amount of coverage (but
I don't have it at hand to check):
Introduction to the Theory of Linear Nonselfadjoint Operators in
Hilbert Space - I. C. Gohberg and M. G. Krein - AMS, 1969, 378 pp.,
Softcover, ISBN 0-8218-1568-7, List: $53, MMONO/18
Dan
-- Dan Luecking Department of Mathematical Sciences University of Arkansas Fayetteville, Arkansas 72701 To reply by email, change Look-In-Sig to luecking
- Previous message: Greg Kuperberg: "This week in the mathematics arXiv (13 Dec - 17 Dec)"
- In reply to: Trieu Le: "Schatten Class Operators"
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