| Description |
1 online resource (240 pages) |
| Access |
Access limited to subscribing institutions. |
| Summary |
Suitable for advanced undergraduates and graduate students in mathematics, this introduction to topological groups presumes familiarity with the elementary concepts of set theory, elements of functional analysis, functions of real and complex variables, and the theory of functions of several variables. Chapters I to V deal with the algebraico-topological aspect of the subject, and Chapters VI to IX emphasize its analytical aspect. After an introductory chapter on the fundamentals of topology and group theory, the treatment explores semitopological groups and the general theory of topological groups. An elementary study of locally compact topological groups is followed by proofs of the open homomorphism and closed graph theorems in a very general setting. Succeeding chapters examine the rudiments of analysis on topological groups. Topics include the Harr measure, finite-dimensional representations of groups, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. |
| Note |
Print version record. |
| Subject |
MATHEMATICS / Topology.
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Duality theory (Mathematics)
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Locally compact groups.
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Topological groups.
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| Genre/Form |
Electronic books.
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| Other Form: |
version: Husain, Taqdir. Introduction to topological groups. Mineola, New York : Dover Publications, Inc., 2018. 9780486819198 (DLC)2017036981 |
| Standard No. |
9780486828206 |
| ISBN |
9780486828206 (e-pub) |
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