Matches in SemOpenAlex for { <https://semopenalex.org/work/W2017808460> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2017808460 endingPage "89" @default.
- W2017808460 startingPage "89" @default.
- W2017808460 abstract "Let $S$ be a topological semigroup (separately continuous multiplication) with identity and $W(S)$ the Banach space of all weakly almost periodic functions on $S$. It is well known that if $S = G$ is a locally compact group, then $W(G)$ always has a (unique) invariant mean. In other words, there exists $m in W{(G)^ ast }$ such that $||m|| = m(1) = 1$ and $m({l_s}f) = m({r_s}f) = m(f)$ for any $s in G,f in W(G)$ where ${l_s}f(t) = f(st)$ and ${r_s}f(t) = f(ts),t in S$ The main purpose of this paper is to present several characterisations (functional analytic and algebraic) of the existence of a left (right) invariant mean on $W(S)$ In particular, we prove that $W(S)$ has a left (right) invariant mean iff a certain compact topological semigroup $p{(S)^omega }$ (to be defined) associated with $S$ contains a right (left) zero. Other results in this direction are also obtained." @default.
- W2017808460 created "2016-06-24" @default.
- W2017808460 creator A5074459097 @default.
- W2017808460 date "1974-01-01" @default.
- W2017808460 modified "2023-09-26" @default.
- W2017808460 title "Topological semigroups and representations. I" @default.
- W2017808460 cites W1490120843 @default.
- W2017808460 cites W1541682917 @default.
- W2017808460 cites W1561681248 @default.
- W2017808460 cites W1981981139 @default.
- W2017808460 cites W2004409437 @default.
- W2017808460 cites W2014247951 @default.
- W2017808460 cites W2015770786 @default.
- W2017808460 cites W2035644693 @default.
- W2017808460 cites W2040432725 @default.
- W2017808460 cites W2048042778 @default.
- W2017808460 cites W2063812512 @default.
- W2017808460 cites W2071773280 @default.
- W2017808460 cites W2091099065 @default.
- W2017808460 cites W2530092426 @default.
- W2017808460 doi "https://doi.org/10.1090/s0002-9947-1974-0369604-8" @default.
- W2017808460 hasPublicationYear "1974" @default.
- W2017808460 type Work @default.
- W2017808460 sameAs 2017808460 @default.
- W2017808460 citedByCount "0" @default.
- W2017808460 crossrefType "journal-article" @default.
- W2017808460 hasAuthorship W2017808460A5074459097 @default.
- W2017808460 hasBestOaLocation W20178084601 @default.
- W2017808460 hasConcept C114614502 @default.
- W2017808460 hasConcept C118615104 @default.
- W2017808460 hasConcept C134306372 @default.
- W2017808460 hasConcept C174265945 @default.
- W2017808460 hasConcept C180987920 @default.
- W2017808460 hasConcept C184720557 @default.
- W2017808460 hasConcept C190470478 @default.
- W2017808460 hasConcept C202444582 @default.
- W2017808460 hasConcept C207405024 @default.
- W2017808460 hasConcept C31498916 @default.
- W2017808460 hasConcept C33923547 @default.
- W2017808460 hasConcept C37914503 @default.
- W2017808460 hasConcept C47776270 @default.
- W2017808460 hasConcept C58450382 @default.
- W2017808460 hasConcept C81332173 @default.
- W2017808460 hasConcept C9376300 @default.
- W2017808460 hasConcept C96386209 @default.
- W2017808460 hasConceptScore W2017808460C114614502 @default.
- W2017808460 hasConceptScore W2017808460C118615104 @default.
- W2017808460 hasConceptScore W2017808460C134306372 @default.
- W2017808460 hasConceptScore W2017808460C174265945 @default.
- W2017808460 hasConceptScore W2017808460C180987920 @default.
- W2017808460 hasConceptScore W2017808460C184720557 @default.
- W2017808460 hasConceptScore W2017808460C190470478 @default.
- W2017808460 hasConceptScore W2017808460C202444582 @default.
- W2017808460 hasConceptScore W2017808460C207405024 @default.
- W2017808460 hasConceptScore W2017808460C31498916 @default.
- W2017808460 hasConceptScore W2017808460C33923547 @default.
- W2017808460 hasConceptScore W2017808460C37914503 @default.
- W2017808460 hasConceptScore W2017808460C47776270 @default.
- W2017808460 hasConceptScore W2017808460C58450382 @default.
- W2017808460 hasConceptScore W2017808460C81332173 @default.
- W2017808460 hasConceptScore W2017808460C9376300 @default.
- W2017808460 hasConceptScore W2017808460C96386209 @default.
- W2017808460 hasLocation W20178084601 @default.
- W2017808460 hasOpenAccess W2017808460 @default.
- W2017808460 hasPrimaryLocation W20178084601 @default.
- W2017808460 hasRelatedWork W1568599732 @default.
- W2017808460 hasRelatedWork W2095206669 @default.
- W2017808460 hasRelatedWork W2170130629 @default.
- W2017808460 hasRelatedWork W2335499520 @default.
- W2017808460 hasRelatedWork W2565263340 @default.
- W2017808460 hasRelatedWork W2918477878 @default.
- W2017808460 hasRelatedWork W3081080951 @default.
- W2017808460 hasRelatedWork W3129715595 @default.
- W2017808460 hasRelatedWork W4287686075 @default.
- W2017808460 hasRelatedWork W2511143911 @default.
- W2017808460 hasVolume "200" @default.
- W2017808460 isParatext "false" @default.
- W2017808460 isRetracted "false" @default.
- W2017808460 magId "2017808460" @default.
- W2017808460 workType "article" @default.