Matches in SemOpenAlex for { <https://semopenalex.org/work/W1580453647> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W1580453647 endingPage "1123" @default.
- W1580453647 startingPage "1113" @default.
- W1580453647 abstract "This paper discusses the spectra of matrix subdivision operators. We establish some formulas for spectral radii of subdivision operators on various invariant subspaces in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script l Subscript p> <mml:semantics> <mml:msub> <mml:mi>ℓ<!-- ℓ --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> <mml:annotation encoding=application/x-tex>ell _{p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. A formula for the spectral radius of a subdivision operator, in terms of the moduli of eigenvalues, is derived under a mild condition. The results are even new in the scalar case. In this case, we show that the subdivision operator has no eigenvector in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script l Subscript p> <mml:semantics> <mml:msub> <mml:mi>ℓ<!-- ℓ --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> <mml:annotation encoding=application/x-tex>ell _{p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> if the corresponding subdivision scheme converges for some <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p element-of left-bracket 1 comma normal infinity right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>∈<!-- ∈ --></mml:mo> <mml:mo stretchy=false>[</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mi mathvariant=normal>∞<!-- ∞ --></mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>pin [1, infty )</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
- W1580453647 created "2016-06-24" @default.
- W1580453647 creator A5022224799 @default.
- W1580453647 date "2003-10-09" @default.
- W1580453647 modified "2023-09-26" @default.
- W1580453647 title "Spectral radii and eigenvalues of subdivision operators" @default.
- W1580453647 cites W146269660 @default.
- W1580453647 cites W1481357352 @default.
- W1580453647 cites W1972706755 @default.
- W1580453647 cites W1981262844 @default.
- W1580453647 cites W2000852127 @default.
- W1580453647 cites W2003989039 @default.
- W1580453647 cites W2006204931 @default.
- W1580453647 cites W2007075732 @default.
- W1580453647 cites W2032326995 @default.
- W1580453647 cites W2046295663 @default.
- W1580453647 cites W2079074323 @default.
- W1580453647 cites W2174948 @default.
- W1580453647 cites W4297562995 @default.
- W1580453647 doi "https://doi.org/10.1090/s0002-9939-03-07194-6" @default.
- W1580453647 hasPublicationYear "2003" @default.
- W1580453647 type Work @default.
- W1580453647 sameAs 1580453647 @default.
- W1580453647 citedByCount "11" @default.
- W1580453647 crossrefType "journal-article" @default.
- W1580453647 hasAuthorship W1580453647A5022224799 @default.
- W1580453647 hasBestOaLocation W15804536471 @default.
- W1580453647 hasConcept C11413529 @default.
- W1580453647 hasConcept C143392562 @default.
- W1580453647 hasConcept C154945302 @default.
- W1580453647 hasConcept C166957645 @default.
- W1580453647 hasConcept C33923547 @default.
- W1580453647 hasConcept C41008148 @default.
- W1580453647 hasConcept C95457728 @default.
- W1580453647 hasConceptScore W1580453647C11413529 @default.
- W1580453647 hasConceptScore W1580453647C143392562 @default.
- W1580453647 hasConceptScore W1580453647C154945302 @default.
- W1580453647 hasConceptScore W1580453647C166957645 @default.
- W1580453647 hasConceptScore W1580453647C33923547 @default.
- W1580453647 hasConceptScore W1580453647C41008148 @default.
- W1580453647 hasConceptScore W1580453647C95457728 @default.
- W1580453647 hasIssue "4" @default.
- W1580453647 hasLocation W15804536471 @default.
- W1580453647 hasOpenAccess W1580453647 @default.
- W1580453647 hasPrimaryLocation W15804536471 @default.
- W1580453647 hasRelatedWork W2118974010 @default.
- W1580453647 hasRelatedWork W2314742692 @default.
- W1580453647 hasRelatedWork W2333698505 @default.
- W1580453647 hasRelatedWork W2351491280 @default.
- W1580453647 hasRelatedWork W2371447506 @default.
- W1580453647 hasRelatedWork W2386767533 @default.
- W1580453647 hasRelatedWork W2389074441 @default.
- W1580453647 hasRelatedWork W2902933830 @default.
- W1580453647 hasRelatedWork W303980170 @default.
- W1580453647 hasRelatedWork W3107474891 @default.
- W1580453647 hasVolume "132" @default.
- W1580453647 isParatext "false" @default.
- W1580453647 isRetracted "false" @default.
- W1580453647 magId "1580453647" @default.
- W1580453647 workType "article" @default.