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Amenable Banach Algebras - A Panorama (Hardcover, 1st ed. 2020)
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Amenable Banach Algebras - A Panorama (Hardcover, 1st ed. 2020)
Series: Springer Monographs in Mathematics
Expected to ship within 12 - 17 working days
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This volume provides readers with a detailed introduction to the
amenability of Banach algebras and locally compact groups. By
encompassing important foundational material, contemporary
research, and recent advancements, this monograph offers a
state-of-the-art reference. It will appeal to anyone interested in
questions of amenability, including those familiar with the
author's previous volume Lectures on Amenability. Cornerstone
topics are covered first: namely, the theory of amenability, its
historical context, and key properties of amenable groups. This
introduction leads to the amenability of Banach algebras, which is
the main focus of the book. Dual Banach algebras are given an
in-depth exploration, as are Banach spaces, Banach homological
algebra, and more. By covering amenability's many applications, the
author offers a simultaneously expansive and detailed treatment.
Additionally, there are numerous exercises and notes at the end of
every chapter that further elaborate on the chapter's contents.
Because it covers both the basics and cutting edge research,
Amenable Banach Algebras will be indispensable to both graduate
students and researchers working in functional analysis, harmonic
analysis, topological groups, and Banach algebras. Instructors
seeking to design an advanced course around this subject will
appreciate the student-friendly elements; a prerequisite of
functional analysis, abstract harmonic analysis, and Banach algebra
theory is assumed.
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