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Topics in Operator Theory by Pearcy C. (ed.) is a nonfiction available to read on EtoBox.

What is Topics in Operator Theory about?

The five articles in this volume are expository in nature, and they all deal with various aspects of the theory of bounded linear operators on Hilbert space. The volume is very timely, because in the last year or two great progress has been made on hard problems in this field, and thus operator theory today is a very exciting part of mathematical research. One particular problem on which considerable progress has been made recently is the invariant subspace problem. This is the question whether every bounded linear operator on a separable, infinite-dimensional, complex Hilbert space $\mathcal H$ has a nontrivial invariant subspace. Even though this problem remains unresolved, there are some operators T on $\mathcal H$ for which the structure of a lattice of all invariant subspaces of T is even, and the first article in this volume, ``invariant subspaces'' by Donald Sarason, is added to a discussion of such operators. One of the interesting features of this lucid presentation is the interplay between operator theory and classical analysis. The second article is entitled ``Weighted shift operators and analytic function theory'' and was written by Allen Shields. He has taken essential

Who reads Topics in Operator Theory?

Author

Pearcy C. (ed.)

Publisher

American Mathematical Society

Published

1979

Language

EN

ISBN

9781470412418

Category

nonfiction

Subjects

Mathematics, Stem