Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301665925> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W4301665925 abstract "Let $J$ and $R$ be anti-commuting fundamental symmetries in a Hilbert space $mathfrak{H}$. The operators $J$ and $R$ can be interpreted as basis (generating) elements of the complex Clifford algebra ${mathcal C}l_2(J,R):={span}{I, J, R, iJR}$. An arbitrary non-trivial fundamental symmetry from ${mathcal C}l_2(J,R)$ is determined by the formula $J_{vec{alpha}}=alpha_{1}J+alpha_{2}R+alpha_{3}iJR$, where ${vec{alpha}}inmathbb{S}^2$. Let $S$ be a symmetric operator that commutes with ${mathcal C}l_2(J,R)$. The purpose of this paper is to study the sets $Sigma_{{J_{vec{alpha}}}}$ ($forall{vec{alpha}}inmathbb{S}^2$) of self-adjoint extensions of $S$ in Krein spaces generated by fundamental symmetries ${{J_{vec{alpha}}}}$ (${{J_{vec{alpha}}}}$-self-adjoint extensions). We show that the sets $Sigma_{{J_{vec{alpha}}}}$ and $Sigma_{{J_{vec{beta}}}}$ are unitarily equivalent for different ${vec{alpha}}, {vec{beta}}inmathbb{S}^2$ and describe in detail the structure of operators $AinSigma_{{J_{vec{alpha}}}}$ with empty resolvent set." @default.
- W4301665925 created "2022-10-05" @default.
- W4301665925 creator A5060020339 @default.
- W4301665925 creator A5079151285 @default.
- W4301665925 date "2011-05-15" @default.
- W4301665925 modified "2023-09-23" @default.
- W4301665925 title "On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl_2" @default.
- W4301665925 doi "https://doi.org/10.48550/arxiv.1105.2969" @default.
- W4301665925 hasPublicationYear "2011" @default.
- W4301665925 type Work @default.
- W4301665925 citedByCount "0" @default.
- W4301665925 crossrefType "posted-content" @default.
- W4301665925 hasAuthorship W4301665925A5060020339 @default.
- W4301665925 hasAuthorship W4301665925A5079151285 @default.
- W4301665925 hasBestOaLocation W43016659251 @default.
- W4301665925 hasConcept C100856211 @default.
- W4301665925 hasConcept C104317684 @default.
- W4301665925 hasConcept C114614502 @default.
- W4301665925 hasConcept C121332964 @default.
- W4301665925 hasConcept C136119220 @default.
- W4301665925 hasConcept C138885662 @default.
- W4301665925 hasConcept C158448853 @default.
- W4301665925 hasConcept C17020691 @default.
- W4301665925 hasConcept C185592680 @default.
- W4301665925 hasConcept C196267783 @default.
- W4301665925 hasConcept C202444582 @default.
- W4301665925 hasConcept C2524010 @default.
- W4301665925 hasConcept C2778049214 @default.
- W4301665925 hasConcept C2778572836 @default.
- W4301665925 hasConcept C33923547 @default.
- W4301665925 hasConcept C37914503 @default.
- W4301665925 hasConcept C41895202 @default.
- W4301665925 hasConcept C55493867 @default.
- W4301665925 hasConcept C62520636 @default.
- W4301665925 hasConcept C62799726 @default.
- W4301665925 hasConcept C86339819 @default.
- W4301665925 hasConcept C96469262 @default.
- W4301665925 hasConceptScore W4301665925C100856211 @default.
- W4301665925 hasConceptScore W4301665925C104317684 @default.
- W4301665925 hasConceptScore W4301665925C114614502 @default.
- W4301665925 hasConceptScore W4301665925C121332964 @default.
- W4301665925 hasConceptScore W4301665925C136119220 @default.
- W4301665925 hasConceptScore W4301665925C138885662 @default.
- W4301665925 hasConceptScore W4301665925C158448853 @default.
- W4301665925 hasConceptScore W4301665925C17020691 @default.
- W4301665925 hasConceptScore W4301665925C185592680 @default.
- W4301665925 hasConceptScore W4301665925C196267783 @default.
- W4301665925 hasConceptScore W4301665925C202444582 @default.
- W4301665925 hasConceptScore W4301665925C2524010 @default.
- W4301665925 hasConceptScore W4301665925C2778049214 @default.
- W4301665925 hasConceptScore W4301665925C2778572836 @default.
- W4301665925 hasConceptScore W4301665925C33923547 @default.
- W4301665925 hasConceptScore W4301665925C37914503 @default.
- W4301665925 hasConceptScore W4301665925C41895202 @default.
- W4301665925 hasConceptScore W4301665925C55493867 @default.
- W4301665925 hasConceptScore W4301665925C62520636 @default.
- W4301665925 hasConceptScore W4301665925C62799726 @default.
- W4301665925 hasConceptScore W4301665925C86339819 @default.
- W4301665925 hasConceptScore W4301665925C96469262 @default.
- W4301665925 hasLocation W43016659251 @default.
- W4301665925 hasLocation W43016659252 @default.
- W4301665925 hasOpenAccess W4301665925 @default.
- W4301665925 hasPrimaryLocation W43016659251 @default.
- W4301665925 hasRelatedWork W1606423697 @default.
- W4301665925 hasRelatedWork W1978358754 @default.
- W4301665925 hasRelatedWork W2016263005 @default.
- W4301665925 hasRelatedWork W2021660296 @default.
- W4301665925 hasRelatedWork W2090723854 @default.
- W4301665925 hasRelatedWork W2093857802 @default.
- W4301665925 hasRelatedWork W2473735480 @default.
- W4301665925 hasRelatedWork W2952074770 @default.
- W4301665925 hasRelatedWork W3116894630 @default.
- W4301665925 hasRelatedWork W61249772 @default.
- W4301665925 isParatext "false" @default.
- W4301665925 isRetracted "false" @default.
- W4301665925 workType "article" @default.