Matches in SemOpenAlex for { <https://semopenalex.org/work/W2036577322> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2036577322 abstract "In this article the convexity theorem of de Leeuw [2, p. 194] is derived by a systematic application of the theory of Banach algebras; the variables aspect is thereby considerably reduced. The proof can be even further simplified in the case of compact Reinhardt domains in Cn. de Leeuw's theorem may be stated as follows: G is an abelian group with a finite set of generators {Xl, x2, * , Xs }, F the dual group of G, and H the semigroup generated by the set given, not necessarily including the unit of H. P(H) is the semigroup algebra of H over the complex numbers. T is a compact family of homomorphisms of H into the multiplicative semigroup of complex numbers, or, as we shall say, representations of H. Define N(h) max |+(h) 6 Ei T}, 11 = 1 cihil --,= i I ci I N(hi). The norm may be indefinite or incomplete, but one can consider bounded homomorphisms of P(H) in this norm. Every complex homomorphism of P(H) is given by a representation of H, schematically, (o, >'i= cihi) = E' 1 c,a(h,). The homomorphism is continuous for the given norm exactly when ? <N. Finally, 1FT is the compact family of representations h-'y(h)o(h) with yCP, OCT. Then: THEOREM. Fr T contains the Silov boundary of (the bounded homomorphisms of) P(H)." @default.
- W2036577322 created "2016-06-24" @default.
- W2036577322 creator A5022824554 @default.
- W2036577322 date "1966-06-01" @default.
- W2036577322 modified "2023-09-26" @default.
- W2036577322 title "Semigroups and de Leeuw’s convexity theorem" @default.
- W2036577322 cites W1998778114 @default.
- W2036577322 doi "https://doi.org/10.1090/s0002-9939-1966-0203521-x" @default.
- W2036577322 hasPublicationYear "1966" @default.
- W2036577322 type Work @default.
- W2036577322 sameAs 2036577322 @default.
- W2036577322 citedByCount "0" @default.
- W2036577322 crossrefType "journal-article" @default.
- W2036577322 hasAuthorship W2036577322A5022824554 @default.
- W2036577322 hasBestOaLocation W20365773221 @default.
- W2036577322 hasConcept C106159729 @default.
- W2036577322 hasConcept C114614502 @default.
- W2036577322 hasConcept C118615104 @default.
- W2036577322 hasConcept C134306372 @default.
- W2036577322 hasConcept C136170076 @default.
- W2036577322 hasConcept C162324750 @default.
- W2036577322 hasConcept C175316100 @default.
- W2036577322 hasConcept C17744445 @default.
- W2036577322 hasConcept C178790620 @default.
- W2036577322 hasConcept C185592680 @default.
- W2036577322 hasConcept C191795146 @default.
- W2036577322 hasConcept C199539241 @default.
- W2036577322 hasConcept C207405024 @default.
- W2036577322 hasConcept C21112865 @default.
- W2036577322 hasConcept C2776230367 @default.
- W2036577322 hasConcept C2779483109 @default.
- W2036577322 hasConcept C2781311116 @default.
- W2036577322 hasConcept C31498916 @default.
- W2036577322 hasConcept C33923547 @default.
- W2036577322 hasConcept C34388435 @default.
- W2036577322 hasConcept C4042151 @default.
- W2036577322 hasConcept C42747912 @default.
- W2036577322 hasConcept C72134830 @default.
- W2036577322 hasConceptScore W2036577322C106159729 @default.
- W2036577322 hasConceptScore W2036577322C114614502 @default.
- W2036577322 hasConceptScore W2036577322C118615104 @default.
- W2036577322 hasConceptScore W2036577322C134306372 @default.
- W2036577322 hasConceptScore W2036577322C136170076 @default.
- W2036577322 hasConceptScore W2036577322C162324750 @default.
- W2036577322 hasConceptScore W2036577322C175316100 @default.
- W2036577322 hasConceptScore W2036577322C17744445 @default.
- W2036577322 hasConceptScore W2036577322C178790620 @default.
- W2036577322 hasConceptScore W2036577322C185592680 @default.
- W2036577322 hasConceptScore W2036577322C191795146 @default.
- W2036577322 hasConceptScore W2036577322C199539241 @default.
- W2036577322 hasConceptScore W2036577322C207405024 @default.
- W2036577322 hasConceptScore W2036577322C21112865 @default.
- W2036577322 hasConceptScore W2036577322C2776230367 @default.
- W2036577322 hasConceptScore W2036577322C2779483109 @default.
- W2036577322 hasConceptScore W2036577322C2781311116 @default.
- W2036577322 hasConceptScore W2036577322C31498916 @default.
- W2036577322 hasConceptScore W2036577322C33923547 @default.
- W2036577322 hasConceptScore W2036577322C34388435 @default.
- W2036577322 hasConceptScore W2036577322C4042151 @default.
- W2036577322 hasConceptScore W2036577322C42747912 @default.
- W2036577322 hasConceptScore W2036577322C72134830 @default.
- W2036577322 hasLocation W20365773221 @default.
- W2036577322 hasOpenAccess W2036577322 @default.
- W2036577322 hasPrimaryLocation W20365773221 @default.
- W2036577322 hasRelatedWork W1969840863 @default.
- W2036577322 hasRelatedWork W1989438891 @default.
- W2036577322 hasRelatedWork W1997235191 @default.
- W2036577322 hasRelatedWork W2033168416 @default.
- W2036577322 hasRelatedWork W2040110395 @default.
- W2036577322 hasRelatedWork W2044952408 @default.
- W2036577322 hasRelatedWork W2055692989 @default.
- W2036577322 hasRelatedWork W2082463241 @default.
- W2036577322 hasRelatedWork W2087355285 @default.
- W2036577322 hasRelatedWork W2093453765 @default.
- W2036577322 hasRelatedWork W2094685086 @default.
- W2036577322 hasRelatedWork W2171010738 @default.
- W2036577322 hasRelatedWork W2318346397 @default.
- W2036577322 hasRelatedWork W2331908447 @default.
- W2036577322 hasRelatedWork W2434454773 @default.
- W2036577322 hasRelatedWork W2908134178 @default.
- W2036577322 hasRelatedWork W2949377676 @default.
- W2036577322 hasRelatedWork W2950898016 @default.
- W2036577322 hasRelatedWork W3012765933 @default.
- W2036577322 hasRelatedWork W3145592602 @default.
- W2036577322 isParatext "false" @default.
- W2036577322 isRetracted "false" @default.
- W2036577322 magId "2036577322" @default.
- W2036577322 workType "article" @default.