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An Innovation to Operator Theory by Yuri A. Abramovich; Charalambos D. Aliprantis is a nonfiction available to read on EtoBox.

What is An Innovation to Operator Theory about?

This book offers a comprehensive and reader-friendly exposition of the theory of linear operators on Banach spaces and Banach lattices using their topological and order structures and properties. Abramovich and Aliprantis give a unique presentation that includes many new and recent advances in operator theory and brings together results that are spread over the vast literature. For instance, invariant subspaces of positive operators and the Daugavet equation are presented in monograph form for the first time. The authors keep the discussion self-contained and use exercises to achieve this goal. The book contains over 600 exercises to help students master the material developed in the text. The exercises are of varying degrees of difficulty and play an important and useful role in the presentation. They help to free the proofs of the main results of technical details, which are secondary to the principal ideas, but provide students with accurate and complete accounts of how such details ought to be worked out. The exercises also contain a considerable amount of additional material, and among them there are many well-known results whose proofs are not readily available elsewhere. Pre

Who reads An Innovation to Operator Theory?

Author

Yuri A. Abramovich; Charalambos D. Aliprantis

Publisher

American Mathematical Society

Published

2002

Language

EN

ISBN

9781470420994

Category

nonfiction

Subjects

Mathematics, Operator Theory, Stem