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A Course in Operator Theory (Graduate Studies in Mathematics, Vol. 21) by John B. Conway is a nonfiction available to read on EtoBox.

What is A Course in Operator Theory (Graduate Studies in Mathematics, Vol. 21) about?

Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on C\*-algebras, normal operators, compact operators and non-normal operators. The topics include the spectral theorem, the functional calculus and the Fredholm index. Also, some deep connections between operator theory and analytic functions are presented. Later chapters cover more advanced topics, such as representations of C\*-algebras, compact perturbations and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. These advanced topics are at the heart of current research. The last chapter gives an introduction to reflexive subspaces, i.e., subspaces of operators that are determined by their invariant subspaces. These, along wi

Who reads A Course in Operator Theory (Graduate Studies in Mathematics, Vol. 21)?

Author

John B. Conway

Publisher

American Mathematical Society

Published

1999

Language

EN

ISBN

9781919621098

Category

nonfiction

Subjects

Mathematics, Stem