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Locally multiplicatively-convex topological algebras / [electronic resource] by Ernest A. Michael.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 11.Publication details: Providence, R.I. : American Mathematical Society, 1952 (1971 printing)Description: 1 online resource (79 p.)ISBN:
  • 9780821899069 (online)
Subject(s): Additional physical formats: Locally multiplicatively-convex topological algebras /DDC classification:
  • 512.55 19
LOC classification:
  • QA3 .A57 no. 11
Online resources:
Contents:
Introduction Introduction to second printing Supplementary bibliography Conventions and notations 1. Idempotent and $m$-convex sets 2. Definition and fundamental properties of locally $m$-convex algebras 3. Examples of complete locally $m$-convex algebras of complex-valued functions 4. $\mathscr {F}$-algebras and their relatives 5. Complete locally $m$-convex algebras 6. Multiplicative linear functionals and symmetry 7. Miscellaneous relations between $A$ and $\{A_i\}$ 8. Functional representation theory 9. Closed regular maximal one sided ideals 10. Some theorems of Gelfand 11. Topological divisors of zero 12. Continuity of multiplicative linear functionals 13. Elements with bounded spectrum 14. Uniqueness of topology 15. $\mathscr {LF}$-algebras
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12464

"This paper is essentially the author's doctoral dissertation at the University of Chicago"--P. 1 note.

Includes bibliographical references.

Introduction Introduction to second printing Supplementary bibliography Conventions and notations 1. Idempotent and $m$-convex sets 2. Definition and fundamental properties of locally $m$-convex algebras 3. Examples of complete locally $m$-convex algebras of complex-valued functions 4. $\mathscr {F}$-algebras and their relatives 5. Complete locally $m$-convex algebras 6. Multiplicative linear functionals and symmetry 7. Miscellaneous relations between $A$ and $\{A_i\}$ 8. Functional representation theory 9. Closed regular maximal one sided ideals 10. Some theorems of Gelfand 11. Topological divisors of zero 12. Continuity of multiplicative linear functionals 13. Elements with bounded spectrum 14. Uniqueness of topology 15. $\mathscr {LF}$-algebras

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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