Matches in SemOpenAlex for { <https://semopenalex.org/work/W126351299> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W126351299 abstract "Abstract Let X be a Banach algebra and X∗ be a first dual space of X . Let f.x and fox be the first and second Arens products, respectively. In this paper, we show that mapping Tf from X into X∗ is weakly compact for all f ∈ X∗ iff X is Arens regular and also If dimR(Tf ) < ∞ for all f ∈ X∗ then X is Arens regular. Conversely, we show that if X is Arens regular and R(Tf ) is weakly closed in X then dimR(Tf ) < ∞ for all f ∈ X∗. In finally, we obtain some conclusion in the topological centers. Suppose that the Banach algebra X is wsc and wcc and contains a bai then X is reflexive whenever the mapping x −→ f.x is weakly compact. Now, suppose that Z1 and Z2 are topological centers of X∗∗ with respect to the first and second Arens products. We also show the relations between the equality XX∗ = X and Z1 = Z2." @default.
- W126351299 created "2016-06-24" @default.
- W126351299 creator A5041342071 @default.
- W126351299 date "2007-01-01" @default.
- W126351299 modified "2023-09-26" @default.
- W126351299 title "Arens Product and Topological Center of Some Banach Spaces" @default.
- W126351299 cites W1553283060 @default.
- W126351299 cites W1594563152 @default.
- W126351299 cites W2040978292 @default.
- W126351299 cites W2049387712 @default.
- W126351299 cites W212161842 @default.
- W126351299 cites W2134629097 @default.
- W126351299 cites W2319308948 @default.
- W126351299 cites W3038830718 @default.
- W126351299 hasPublicationYear "2007" @default.
- W126351299 type Work @default.
- W126351299 sameAs 126351299 @default.
- W126351299 citedByCount "0" @default.
- W126351299 crossrefType "journal-article" @default.
- W126351299 hasAuthorship W126351299A5041342071 @default.
- W126351299 hasConcept C114614502 @default.
- W126351299 hasConcept C118615104 @default.
- W126351299 hasConcept C132954091 @default.
- W126351299 hasConcept C136119220 @default.
- W126351299 hasConcept C184720557 @default.
- W126351299 hasConcept C185592680 @default.
- W126351299 hasConcept C202444582 @default.
- W126351299 hasConcept C2524010 @default.
- W126351299 hasConcept C2779463800 @default.
- W126351299 hasConcept C2781106287 @default.
- W126351299 hasConcept C31498916 @default.
- W126351299 hasConcept C33923547 @default.
- W126351299 hasConcept C8010536 @default.
- W126351299 hasConcept C81332173 @default.
- W126351299 hasConcept C90673727 @default.
- W126351299 hasConceptScore W126351299C114614502 @default.
- W126351299 hasConceptScore W126351299C118615104 @default.
- W126351299 hasConceptScore W126351299C132954091 @default.
- W126351299 hasConceptScore W126351299C136119220 @default.
- W126351299 hasConceptScore W126351299C184720557 @default.
- W126351299 hasConceptScore W126351299C185592680 @default.
- W126351299 hasConceptScore W126351299C202444582 @default.
- W126351299 hasConceptScore W126351299C2524010 @default.
- W126351299 hasConceptScore W126351299C2779463800 @default.
- W126351299 hasConceptScore W126351299C2781106287 @default.
- W126351299 hasConceptScore W126351299C31498916 @default.
- W126351299 hasConceptScore W126351299C33923547 @default.
- W126351299 hasConceptScore W126351299C8010536 @default.
- W126351299 hasConceptScore W126351299C81332173 @default.
- W126351299 hasConceptScore W126351299C90673727 @default.
- W126351299 hasLocation W1263512991 @default.
- W126351299 hasOpenAccess W126351299 @default.
- W126351299 hasPrimaryLocation W1263512991 @default.
- W126351299 hasRelatedWork W109615496 @default.
- W126351299 hasRelatedWork W132586627 @default.
- W126351299 hasRelatedWork W1486627140 @default.
- W126351299 hasRelatedWork W1537082087 @default.
- W126351299 hasRelatedWork W1983118166 @default.
- W126351299 hasRelatedWork W1991481053 @default.
- W126351299 hasRelatedWork W1994208735 @default.
- W126351299 hasRelatedWork W1995194735 @default.
- W126351299 hasRelatedWork W2030175365 @default.
- W126351299 hasRelatedWork W2046306378 @default.
- W126351299 hasRelatedWork W2057402892 @default.
- W126351299 hasRelatedWork W2064627698 @default.
- W126351299 hasRelatedWork W2295135315 @default.
- W126351299 hasRelatedWork W2320760531 @default.
- W126351299 hasRelatedWork W244922785 @default.
- W126351299 hasRelatedWork W2907683217 @default.
- W126351299 hasRelatedWork W3182533287 @default.
- W126351299 hasRelatedWork W2171387678 @default.
- W126351299 hasRelatedWork W2563828531 @default.
- W126351299 hasRelatedWork W592448270 @default.
- W126351299 isParatext "false" @default.
- W126351299 isRetracted "false" @default.
- W126351299 magId "126351299" @default.
- W126351299 workType "article" @default.