Matches in SemOpenAlex for { <https://semopenalex.org/work/W2037693402> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2037693402 endingPage "390" @default.
- W2037693402 startingPage "366" @default.
- W2037693402 abstract "Our main result is an extension of a theorem due to Novodvorskii and Taylor; we give some special cases. Let A be a commutative Banach algebra with identity, and let Δ be its maximal ideal space. Let B be a Banach algebra with identity; let B−1 denote the invertible group in B and id B denote the set of idempotents in B. Let [(A ̂bo B)−1] denote the set of path components of (A ̂bo B)−1, and [Δ, B−1] denote the set of homotopy classes of continuous maps of Δ into B−1. We prove that the Gelfand transform on A induces a bijection of [(A ̂bo B)−1] onto [Δ, B−1], and extend this result to prove a theorem of Davie. We show that the Gelfand transform induces a bijection of [id(A ̂bo B)] onto [Δ, id B], and investigate consequences of this result for specific examples of the Banach algebra B." @default.
- W2037693402 created "2016-06-24" @default.
- W2037693402 creator A5069176042 @default.
- W2037693402 date "1977-08-01" @default.
- W2037693402 modified "2023-09-25" @default.
- W2037693402 title "The relationship between a commutative Banach algebra and its maximal ideal space" @default.
- W2037693402 cites W1973448804 @default.
- W2037693402 cites W1987708986 @default.
- W2037693402 cites W1988990244 @default.
- W2037693402 cites W2007861127 @default.
- W2037693402 cites W2056591974 @default.
- W2037693402 cites W2315661807 @default.
- W2037693402 cites W2914074126 @default.
- W2037693402 cites W4234950084 @default.
- W2037693402 doi "https://doi.org/10.1016/0022-1236(77)90045-3" @default.
- W2037693402 hasPublicationYear "1977" @default.
- W2037693402 type Work @default.
- W2037693402 sameAs 2037693402 @default.
- W2037693402 citedByCount "73" @default.
- W2037693402 countsByYear W20376934022012 @default.
- W2037693402 countsByYear W20376934022013 @default.
- W2037693402 countsByYear W20376934022014 @default.
- W2037693402 countsByYear W20376934022017 @default.
- W2037693402 countsByYear W20376934022018 @default.
- W2037693402 countsByYear W20376934022019 @default.
- W2037693402 countsByYear W20376934022020 @default.
- W2037693402 countsByYear W20376934022021 @default.
- W2037693402 countsByYear W20376934022023 @default.
- W2037693402 crossrefType "journal-article" @default.
- W2037693402 hasAuthorship W2037693402A5069176042 @default.
- W2037693402 hasConcept C111472728 @default.
- W2037693402 hasConcept C114614502 @default.
- W2037693402 hasConcept C118211362 @default.
- W2037693402 hasConcept C118615104 @default.
- W2037693402 hasConcept C121332964 @default.
- W2037693402 hasConcept C132954091 @default.
- W2037693402 hasConcept C138885662 @default.
- W2037693402 hasConcept C183778304 @default.
- W2037693402 hasConcept C202444582 @default.
- W2037693402 hasConcept C24424167 @default.
- W2037693402 hasConcept C24890656 @default.
- W2037693402 hasConcept C2776639384 @default.
- W2037693402 hasConcept C2778355321 @default.
- W2037693402 hasConcept C2781106287 @default.
- W2037693402 hasConcept C33923547 @default.
- W2037693402 hasConcept C96442724 @default.
- W2037693402 hasConceptScore W2037693402C111472728 @default.
- W2037693402 hasConceptScore W2037693402C114614502 @default.
- W2037693402 hasConceptScore W2037693402C118211362 @default.
- W2037693402 hasConceptScore W2037693402C118615104 @default.
- W2037693402 hasConceptScore W2037693402C121332964 @default.
- W2037693402 hasConceptScore W2037693402C132954091 @default.
- W2037693402 hasConceptScore W2037693402C138885662 @default.
- W2037693402 hasConceptScore W2037693402C183778304 @default.
- W2037693402 hasConceptScore W2037693402C202444582 @default.
- W2037693402 hasConceptScore W2037693402C24424167 @default.
- W2037693402 hasConceptScore W2037693402C24890656 @default.
- W2037693402 hasConceptScore W2037693402C2776639384 @default.
- W2037693402 hasConceptScore W2037693402C2778355321 @default.
- W2037693402 hasConceptScore W2037693402C2781106287 @default.
- W2037693402 hasConceptScore W2037693402C33923547 @default.
- W2037693402 hasConceptScore W2037693402C96442724 @default.
- W2037693402 hasIssue "4" @default.
- W2037693402 hasLocation W20376934021 @default.
- W2037693402 hasOpenAccess W2037693402 @default.
- W2037693402 hasPrimaryLocation W20376934021 @default.
- W2037693402 hasRelatedWork W1452263252 @default.
- W2037693402 hasRelatedWork W1500104164 @default.
- W2037693402 hasRelatedWork W1973945634 @default.
- W2037693402 hasRelatedWork W1976061943 @default.
- W2037693402 hasRelatedWork W2115469041 @default.
- W2037693402 hasRelatedWork W2804102912 @default.
- W2037693402 hasRelatedWork W2963797430 @default.
- W2037693402 hasRelatedWork W2964145023 @default.
- W2037693402 hasRelatedWork W4220949876 @default.
- W2037693402 hasRelatedWork W4249558415 @default.
- W2037693402 hasVolume "25" @default.
- W2037693402 isParatext "false" @default.
- W2037693402 isRetracted "false" @default.
- W2037693402 magId "2037693402" @default.
- W2037693402 workType "article" @default.