LEADER 04253nam 2200541 450 001 9910828785103321 005 20170821171950.0 010 $a0-8218-9895-7 035 $a(CKB)3360000000464019 035 $a(EBL)3113569 035 $a(SSID)ssj0000973304 035 $a(PQKBManifestationID)11504613 035 $a(PQKBTitleCode)TC0000973304 035 $a(PQKBWorkID)10961178 035 $a(PQKB)10082136 035 $a(MiAaPQ)EBC3113569 035 $a(RPAM)0000000736 035 $a(PPN)195409884 035 $a(EXLCZ)993360000000464019 100 $a20750121d1970 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCompactly covered reflections $eextension of uniform dualities and generalized almost periodicity /$fby Michael H. Powell 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1970. 215 $a1 online resource (246 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 105 300 $aDescription based upon print version of record. 311 $a0-8218-1805-8 320 $aIncludes bibliographical references (pages 233-235) and index. 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""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 PtA?¡k'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"" 327 $a""9 Compact Reflections of Uniform Monoids: Extensions of Some Results of De Leeuw and Glicksberg""""Symbol Index""; ""Terminology Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 105. 606 $aUniform algebras 615 0$aUniform algebras. 700 $aPowell$b Michael H.$01693973 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828785103321 996 $aCompactly covered reflections$94072168 997 $aUNINA