04253nam 2200541 450 991082878510332120170821171950.00-8218-9895-7(CKB)3360000000464019(EBL)3113569(SSID)ssj0000973304(PQKBManifestationID)11504613(PQKBTitleCode)TC0000973304(PQKBWorkID)10961178(PQKB)10082136(MiAaPQ)EBC3113569(RPAM)0000000736(PPN)195409884(EXLCZ)99336000000046401920750121d1970 uy| 0engur|n|---|||||txtccrCompactly covered reflections extension of uniform dualities and generalized almost periodicity /by Michael H. PowellProvidence, Rhode Island :American Mathematical Society,1970.1 online resource (246 p.)Memoirs of the American Mathematical Society ;number 105Description based upon print version of record.0-8218-1805-8 Includes bibliographical references (pages 233-235) and index.""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""Memoirs of the American Mathematical Society ;no. 105.Uniform algebrasUniform algebras.Powell Michael H.1693973MiAaPQMiAaPQMiAaPQBOOK9910828785103321Compactly covered reflections4072168UNINA