Matches in SemOpenAlex for { <https://semopenalex.org/work/W2291473418> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2291473418 abstract "Let $mathcal{H}$ be a right quaternionic Hilbert space and let $T$ be a quaternionic normal operator with the domain $mathcal{D}(T) subset mathcal{H}$. Then for a fixed unit imaginary quaternion $m$, there exists a Hilbert basis $mathcal{N}_{m}$ of $mathcal{H}$, a measure space $(Omega, mu)$, a unitary operator $U colon mathcal{H} to L^{2}(Omega; mathbb{H}; mu)$ and a $mu$ - measurable function $phi colon Omega to mathbb{C}_m$ (here $mathbb{C}_{m} = {alpha + m beta; ;alpha, beta in mathbb{R}}$) such that [ Tx = U^{*}M_{phi}Ux, ; mbox{for all}; xin mathcal{D}(T), ] where $M_{phi}$ is the multiplication operator on $L^{2}(Omega; mathbb{H}; mu)$ induced by $phi$ with $ U(mathcal{D}(T)) subseteq mathcal{D}(M_{phi})$. In the process, we prove that every complex Hilbert space is a slice Hilbert space. We establish these results by reducing it to the complex case then lift it to the quaternionic case." @default.
- W2291473418 created "2016-06-24" @default.
- W2291473418 creator A5070655742 @default.
- W2291473418 creator A5085014443 @default.
- W2291473418 date "2016-03-02" @default.
- W2291473418 modified "2023-10-18" @default.
- W2291473418 title "Spectral Theorem for quaternionic normal operators: Multiplication form" @default.
- W2291473418 cites W1588513474 @default.
- W2291473418 cites W1608575558 @default.
- W2291473418 cites W1977659460 @default.
- W2291473418 cites W2057098907 @default.
- W2291473418 cites W2255341757 @default.
- W2291473418 cites W227029647 @default.
- W2291473418 cites W2594921379 @default.
- W2291473418 cites W3103599540 @default.
- W2291473418 cites W3159451921 @default.
- W2291473418 cites W844511852 @default.
- W2291473418 doi "https://doi.org/10.48550/arxiv.1603.00697" @default.
- W2291473418 hasPublicationYear "2016" @default.
- W2291473418 type Work @default.
- W2291473418 sameAs 2291473418 @default.
- W2291473418 citedByCount "0" @default.
- W2291473418 crossrefType "posted-content" @default.
- W2291473418 hasAuthorship W2291473418A5070655742 @default.
- W2291473418 hasAuthorship W2291473418A5085014443 @default.
- W2291473418 hasBestOaLocation W22914734181 @default.
- W2291473418 hasConcept C104317684 @default.
- W2291473418 hasConcept C114614502 @default.
- W2291473418 hasConcept C121332964 @default.
- W2291473418 hasConcept C124101348 @default.
- W2291473418 hasConcept C134306372 @default.
- W2291473418 hasConcept C138885662 @default.
- W2291473418 hasConcept C139002025 @default.
- W2291473418 hasConcept C158448853 @default.
- W2291473418 hasConcept C17020691 @default.
- W2291473418 hasConcept C185592680 @default.
- W2291473418 hasConcept C200127275 @default.
- W2291473418 hasConcept C2524010 @default.
- W2291473418 hasConcept C2778572836 @default.
- W2291473418 hasConcept C2779557605 @default.
- W2291473418 hasConcept C33923547 @default.
- W2291473418 hasConcept C41008148 @default.
- W2291473418 hasConcept C41895202 @default.
- W2291473418 hasConcept C55493867 @default.
- W2291473418 hasConcept C62520636 @default.
- W2291473418 hasConcept C62799726 @default.
- W2291473418 hasConcept C86339819 @default.
- W2291473418 hasConceptScore W2291473418C104317684 @default.
- W2291473418 hasConceptScore W2291473418C114614502 @default.
- W2291473418 hasConceptScore W2291473418C121332964 @default.
- W2291473418 hasConceptScore W2291473418C124101348 @default.
- W2291473418 hasConceptScore W2291473418C134306372 @default.
- W2291473418 hasConceptScore W2291473418C138885662 @default.
- W2291473418 hasConceptScore W2291473418C139002025 @default.
- W2291473418 hasConceptScore W2291473418C158448853 @default.
- W2291473418 hasConceptScore W2291473418C17020691 @default.
- W2291473418 hasConceptScore W2291473418C185592680 @default.
- W2291473418 hasConceptScore W2291473418C200127275 @default.
- W2291473418 hasConceptScore W2291473418C2524010 @default.
- W2291473418 hasConceptScore W2291473418C2778572836 @default.
- W2291473418 hasConceptScore W2291473418C2779557605 @default.
- W2291473418 hasConceptScore W2291473418C33923547 @default.
- W2291473418 hasConceptScore W2291473418C41008148 @default.
- W2291473418 hasConceptScore W2291473418C41895202 @default.
- W2291473418 hasConceptScore W2291473418C55493867 @default.
- W2291473418 hasConceptScore W2291473418C62520636 @default.
- W2291473418 hasConceptScore W2291473418C62799726 @default.
- W2291473418 hasConceptScore W2291473418C86339819 @default.
- W2291473418 hasLocation W22914734181 @default.
- W2291473418 hasOpenAccess W2291473418 @default.
- W2291473418 hasPrimaryLocation W22914734181 @default.
- W2291473418 hasRelatedWork W2100690540 @default.
- W2291473418 hasRelatedWork W2354235998 @default.
- W2291473418 hasRelatedWork W2669284571 @default.
- W2291473418 hasRelatedWork W2889917003 @default.
- W2291473418 hasRelatedWork W2988381336 @default.
- W2291473418 hasRelatedWork W3009199583 @default.
- W2291473418 hasRelatedWork W3116894630 @default.
- W2291473418 hasRelatedWork W3177761684 @default.
- W2291473418 hasRelatedWork W4287550757 @default.
- W2291473418 hasRelatedWork W4225640554 @default.
- W2291473418 isParatext "false" @default.
- W2291473418 isRetracted "false" @default.
- W2291473418 magId "2291473418" @default.
- W2291473418 workType "article" @default.