Random Operator Theory

This book defines the random norm of random bounded linear operators and includes random norms of differentiation operators and integral operators

Reza Saadati (Author)

9780128053461

Hardback, published 4 August 2016

82 pages
22.9 x 15.1 x 1.5 cm, 0.21 kg

"...provides a great opportunity for mathematicians and research scholars to get acquainted with the theory of random normed spaces, random norm of random bounded linear operators, random Banach algebras and the basic facts in this field." --Zentralblatt MATH

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.

Chapter 11.1 Triangular norms1.2 Distribution Functions1.3 Random normed spaces and random Banach spaces1.4 Further properties of random normed spaces1.5 Open problemsChapter 22.1 Finite dimensional random normed spaces2.2 R-bounded and continuous linear operators2.3 Random normed spaces of operators, random dual spaces2.4 Compact operators2.5 Open problemsChapter 33.1 Random Banach algebras3.2 Fixed point theorems3.3 Open problems

Subject Areas: Real analysis, real variables [PBKB]