Random operator theory

Random operator theory

by Saadati, Reza

Type Book
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"Random Operator Theory provides a comprehensive discussion of the random norm of random bounded linear operators, also providing important random norms as random norms of differentiation operators and integral operators. After providing the basic definition of random norm of random bounded linear operators, the book then delves into the study of random operator theory, with final sections discussing the concept of random Banach algebras and its applications." -- Provided by publisher.

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Title Statements

  • Full title :Random operator theory / Reza Saadati, Department of Mathematics, Iran University of Science and Technology, Tehran, Iran.

Summary

"Random Operator Theory provides a comprehensive discussion of the random norm of random bounded linear operators, also providing important random norms as random norms of differentiation operators and integral operators. After providing the basic definition of random norm of random bounded linear operators, the book then delves into the study of random operator theory, with final sections discussing the concept of random Banach algebras and its applications." -- Provided by publisher.

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Edition Statements

  • Publication Date:©2016

Publication Statements

The Physical Object

  • Description:xi, 69 pages : : illustrations ; : 23 cm

Edition Identifiers

  • ISBN:9780128053461, 0128053461
  • oclc:ocn950449928
  • LC Classification:QA274.28
  • Dewey Decimal:519.2/3

Table of Contents

1. Preliminaries. 1.1 Triangular norms ; 1.2 Distribution functions -- 2. Random Banach Spaces. 2.1 Random normed spaces ; 2.2 Random topological structures ; 2.3 Fundamental theorems in random Banach spaces -- 3. Random Contact Operators. 3.1 Random norm of operators ; 3.2 Random operator space ; 3.3 Compact operators -- 4. Random Banach Algebras. 4.1 Random normed algebra ; 4.2 Fixed point theorem -- 5. Fixed Point Theorems in Random Normed Spaces. 5.1 Tripled coincidence point theorems in RN-spaces.

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