Matches in SemOpenAlex for { <https://semopenalex.org/work/W4283716596> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W4283716596 abstract "Abstract We introduce the new concepts of pseudo numerical range for operator functions and families of sesquilinear forms as well as the pseudo block numerical range for $$n!times ! n$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>n</mml:mi> <mml:mspace /> <mml:mo>×</mml:mo> <mml:mspace /> <mml:mi>n</mml:mi> </mml:mrow> </mml:math> operator matrix functions. While these notions are new even in the bounded case, we cover operator polynomials with unbounded coefficients, unbounded holomorphic form families of type (a) and associated operator families of type (B). Our main results include spectral inclusion properties of pseudo numerical ranges and pseudo block numerical ranges. For diagonally dominant and off-diagonally dominant operator matrices they allow us to prove spectral enclosures in terms of the pseudo numerical ranges of Schur complements that no longer require dominance order 0 and not even $$<!1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo><</mml:mo> <mml:mspace /> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> . As an application, we establish a new type of spectral bounds for linearly damped wave equations with possibly unbounded and/or singular damping." @default.
- W4283716596 created "2022-07-01" @default.
- W4283716596 creator A5007728611 @default.
- W4283716596 creator A5054401480 @default.
- W4283716596 date "2022-06-30" @default.
- W4283716596 modified "2023-10-10" @default.
- W4283716596 title "Pseudo Numerical Ranges and Spectral Enclosures" @default.
- W4283716596 cites W1539593706 @default.
- W4283716596 cites W1552202016 @default.
- W4283716596 cites W1575147392 @default.
- W4283716596 cites W166129609 @default.
- W4283716596 cites W1967281861 @default.
- W4283716596 cites W1974695963 @default.
- W4283716596 cites W1982208411 @default.
- W4283716596 cites W2007326998 @default.
- W4283716596 cites W2027392793 @default.
- W4283716596 cites W2086579271 @default.
- W4283716596 cites W2159901087 @default.
- W4283716596 cites W2260201515 @default.
- W4283716596 cites W2327361012 @default.
- W4283716596 cites W2492967703 @default.
- W4283716596 cites W2509216222 @default.
- W4283716596 cites W2733833760 @default.
- W4283716596 cites W2788010965 @default.
- W4283716596 cites W2801036374 @default.
- W4283716596 cites W2895179843 @default.
- W4283716596 cites W2963794574 @default.
- W4283716596 cites W2989578302 @default.
- W4283716596 cites W3004976878 @default.
- W4283716596 cites W3109640484 @default.
- W4283716596 cites W4206083528 @default.
- W4283716596 cites W570492555 @default.
- W4283716596 doi "https://doi.org/10.1007/s11785-022-01232-9" @default.
- W4283716596 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/35789901" @default.
- W4283716596 hasPublicationYear "2022" @default.
- W4283716596 type Work @default.
- W4283716596 citedByCount "1" @default.
- W4283716596 countsByYear W42837165962023 @default.
- W4283716596 crossrefType "journal-article" @default.
- W4283716596 hasAuthorship W4283716596A5007728611 @default.
- W4283716596 hasAuthorship W4283716596A5054401480 @default.
- W4283716596 hasBestOaLocation W42837165961 @default.
- W4283716596 hasConcept C104317684 @default.
- W4283716596 hasConcept C11413529 @default.
- W4283716596 hasConcept C127313418 @default.
- W4283716596 hasConcept C134306372 @default.
- W4283716596 hasConcept C151730666 @default.
- W4283716596 hasConcept C158448853 @default.
- W4283716596 hasConcept C17020691 @default.
- W4283716596 hasConcept C185592680 @default.
- W4283716596 hasConcept C193060811 @default.
- W4283716596 hasConcept C204575570 @default.
- W4283716596 hasConcept C2777299769 @default.
- W4283716596 hasConcept C33923547 @default.
- W4283716596 hasConcept C48753275 @default.
- W4283716596 hasConcept C55493867 @default.
- W4283716596 hasConcept C86339819 @default.
- W4283716596 hasConceptScore W4283716596C104317684 @default.
- W4283716596 hasConceptScore W4283716596C11413529 @default.
- W4283716596 hasConceptScore W4283716596C127313418 @default.
- W4283716596 hasConceptScore W4283716596C134306372 @default.
- W4283716596 hasConceptScore W4283716596C151730666 @default.
- W4283716596 hasConceptScore W4283716596C158448853 @default.
- W4283716596 hasConceptScore W4283716596C17020691 @default.
- W4283716596 hasConceptScore W4283716596C185592680 @default.
- W4283716596 hasConceptScore W4283716596C193060811 @default.
- W4283716596 hasConceptScore W4283716596C204575570 @default.
- W4283716596 hasConceptScore W4283716596C2777299769 @default.
- W4283716596 hasConceptScore W4283716596C33923547 @default.
- W4283716596 hasConceptScore W4283716596C48753275 @default.
- W4283716596 hasConceptScore W4283716596C55493867 @default.
- W4283716596 hasConceptScore W4283716596C86339819 @default.
- W4283716596 hasFunder F4320320924 @default.
- W4283716596 hasIssue "6" @default.
- W4283716596 hasLocation W42837165961 @default.
- W4283716596 hasLocation W42837165962 @default.
- W4283716596 hasLocation W42837165963 @default.
- W4283716596 hasLocation W42837165964 @default.
- W4283716596 hasLocation W42837165965 @default.
- W4283716596 hasLocation W42837165966 @default.
- W4283716596 hasOpenAccess W4283716596 @default.
- W4283716596 hasPrimaryLocation W42837165961 @default.
- W4283716596 hasRelatedWork W1993183415 @default.
- W4283716596 hasRelatedWork W2018013855 @default.
- W4283716596 hasRelatedWork W2049186872 @default.
- W4283716596 hasRelatedWork W2059445378 @default.
- W4283716596 hasRelatedWork W2060388431 @default.
- W4283716596 hasRelatedWork W2154327854 @default.
- W4283716596 hasRelatedWork W2270991536 @default.
- W4283716596 hasRelatedWork W2294873576 @default.
- W4283716596 hasRelatedWork W2963542402 @default.
- W4283716596 hasRelatedWork W4224309602 @default.
- W4283716596 hasVolume "16" @default.
- W4283716596 isParatext "false" @default.
- W4283716596 isRetracted "false" @default.
- W4283716596 workType "article" @default.