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Spectral Theory of Multivalued Linear Operators
Spectral Theory of Multivalued Linear Operators
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Focuses on the theory of multivalued linear operators, responding to the lack of resources exclusively dealing with the spectral theory of multivalued linear operators, specifically the study of linear relations over real or complex Banach spaces.
Format: Paperback / softback
Length: 296 pages
Publication date: 25 September 2023
Publisher: Apple Academic Press Inc.
The concept of multivalued linear operators, also known as linear relations, is a groundbreaking and transformative field of research in modern mathematics. Its applications span a wide range of disciplines, including economic theory, noncooperative games, artificial intelligence, medicine, and more. This exciting new book specifically focuses on the theory of linear relations, addressing the need for dedicated resources that delve into the spectral theory of multivalued linear operators.
Within the pages of this book, the study of linear relations over real or complex Banach spaces takes center stage. The primary objectives are to define and characterize various types of spectra, while also extending the concepts of spectra commonly associated with single-valued operators, both bounded and unbounded. The volume introduces the concept of pseudospectra, which plays a crucial role in this field. Key topics covered include demicompact linear relations, essential spectra of linear relations, pseudospectra, and essential pseudospectra of linear relations.
This comprehensive volume is a valuable resource for researchers, as it not only consolidates a diverse range of material but also introduces innovative extensions. It serves as a valuable entry point for beginning graduate students who wish to explore the realm of spectral theory of multivalued linear operators, while also providing insights and inspiration for expert readers. The book's comprehensive coverage and innovative approaches make it a must-read for anyone interested in this dynamic field of mathematics.
Weight: 580g
Dimension: 234 x 156 (mm)
ISBN-13: 9781774639382
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