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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.
- Explores random differentiation and random integral equations
- Delves into the study of random operator theory
- Discusses the concept of random Banach algebras and its applications
1.1 Triangular norms
1.2 Distribution Functions
1.3 Random normed spaces and random Banach spaces
1.4 Further properties of random normed spaces
1.5 Open problems
2.1 Finite dimensional random normed spaces
2.2 R-bounded and continuous linear operators
2.3 Random normed spaces of operators, random dual spaces
2.4 Compact operators
2.5 Open problems
3.1 Random Banach algebras
3.2 Fixed point theorems
3.3 Open problems
- No. of pages:
- © Academic Press 2017
- 4th August 2016
- Academic Press
- Hardcover ISBN:
- eBook ISBN:
Reza Saadati is a Researcher at the Department of Mathematics, Iran University of Science and Technology.
Researcher, Department of Mathematics, Iran University of Science and Technology
"...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