Compactly covered reflections : extension of uniform dualities and generalized almost periodicity / / by Michael H. Powell

• Autore: Powell Michael H.
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1970
• Descrizione fisica: 1 online resource (246 p.)
• Soggetto topico: Uniform algebras
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages 233-235) and index.
• Nota di contenuto: ""Table of Contents""; ""Foreword""; ""Introduction""; ""Chapter 1: Preliminaries""; ""1 Synopsis""; ""2 Terminology from Set Theory and Topology""; ""3 Terminology Concerning Categories""; ""4 Terminology Concerning Uniform Structures""; ""5 Terminology Concerning Algebra""; ""6 Terminology from the Theory of Locally Convex Spaces""; ""Chapter 2: Compactly Covered Reflections""; ""1 Synopsis""; ""2 Cartesian Categories""; ""3 Examples of Cartesian Categories""; ""4 Uniformizing Rules for Cartesian Categories""; ""5 Examples of Uniformizing Rules for Cartesian Categories""; ""6 Dual Objects"" ; ""7 Compactly Covered Reflections in Cartesian Categories""""8 Examples of Compactly Covered Reflections""; ""Chapter 3: Uniform Dualities""; ""1 Synopsis""; ""2 Basic Definitions and Terminology Concerning Uniform Dualities""; ""3 Transpose Maps""; ""4 Completeness in a Uniform Duality""; ""5 Precompactness in a Uniform Duality""; ""Chapter 4: Almost Periodic Functions and Linear Forms""; ""1 Synopsis""; ""2 Action of a Monoid on a Duality""; ""3 Action of a Covered Monoid on a Duality""; ""4 Almost Periodic Elements in a Duality""; ""5 Almost Periodic Functions on a Covered Uniform Monoid"" ; ""6 Almost Periodic Linear Forms on a Covered Locally Convex Algebra""""Chapter 5: Extension of Uniform Dualities""; ""1 Synopsis""; ""2 Extension Contexts in a Duality of Sets""; ""3 Extension Contexts in a Duality in a Cartesian Category""; ""4 Extension Contexts over a Uniformized Object""; ""5 The Double Sequence Property""; ""6 The Double Sequence Property and Extension Contexts""; ""7 An Application: Arens Multiplication in the Bidual of a Bornological Algebra""; ""8 A Generalized Eberlein-Grothendieck Theorem""; ""9 Extension Theorems"" ; ""10 An Application: Weakly Almost Periodic Linear Forms on a Covered Locally Convex Algebra""""Chapter 6: Linear Extension of Uniform Dualities""; ""1 Synopsis""; ""2 Linear Extension Contexts""; ""3 The Convex Double Sequence Property""; ""4 Pták's Combinatorial Lemma and the Double Limit Property""; ""5 The Convex Double Sequence Property and Linear Extension Contexts""; ""6 A Generalized Eberlein-Grothendieck-Krein Theorem""; ""7 Linear Extension Theorems""; ""8 An Application: Weakly Almost Periodic Functions on a Covered Uniform Monoid"" ; ""9 Compact Reflections of Uniform Monoids: Extensions of Some Results of De Leeuw and Glicksberg""""Symbol Index""; ""Terminology Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Bibliography""
• Titolo autorizzato: Compactly covered reflections
• ISBN: 0-8218-9895-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788611703321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 105.