Matches in SemOpenAlex for { <https://semopenalex.org/work/W2896581036> ?p ?o ?g. }
Showing items 1 to 48 of
48
with 100 items per page.
- W2896581036 endingPage "15" @default.
- W2896581036 startingPage "1" @default.
- W2896581036 abstract "The existence of the second (according to the module) eigenvalue<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>of a completely continuous nonnegative operator<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi></mml:math>is proved under the conditions that<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi></mml:math>acts in the space<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>Ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>or<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>C</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>and its exterior square<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi><mml:mo>∧</mml:mo><mml:mi>A</mml:mi></mml:math>is also nonnegative. For the case when the operators<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi><mml:mo>∧</mml:mo><mml:mi>A</mml:mi></mml:math>are indecomposable, the simplicity of the first and second eigenvalues is proved, and the interrelation between the indices of imprimitivity of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi><mml:mo>∧</mml:mo><mml:mi>A</mml:mi></mml:math>is examined. For the case when<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi><mml:mo>∧</mml:mo><mml:mi>A</mml:mi></mml:math>are primitive, the difference (according to the module) of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>λ</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>from each other and from other eigenvalues is proved." @default.
- W2896581036 created "2018-10-26" @default.
- W2896581036 creator A5065513910 @default.
- W2896581036 creator A5087091437 @default.
- W2896581036 date "2006-01-01" @default.
- W2896581036 modified "2023-09-27" @default.
- W2896581036 title "Gantmacher-Kreĭn theorem for 2 nonnegative operators in spaces of functions" @default.
- W2896581036 cites W2019940400 @default.
- W2896581036 cites W2032958005 @default.
- W2896581036 cites W2089855590 @default.
- W2896581036 cites W2000637226 @default.
- W2896581036 doi "https://doi.org/10.1155/aaa/2006/48132" @default.
- W2896581036 hasPublicationYear "2006" @default.
- W2896581036 type Work @default.
- W2896581036 sameAs 2896581036 @default.
- W2896581036 citedByCount "1" @default.
- W2896581036 crossrefType "journal-article" @default.
- W2896581036 hasAuthorship W2896581036A5065513910 @default.
- W2896581036 hasAuthorship W2896581036A5087091437 @default.
- W2896581036 hasBestOaLocation W28965810361 @default.
- W2896581036 hasConcept C11413529 @default.
- W2896581036 hasConcept C154945302 @default.
- W2896581036 hasConcept C41008148 @default.
- W2896581036 hasConceptScore W2896581036C11413529 @default.
- W2896581036 hasConceptScore W2896581036C154945302 @default.
- W2896581036 hasConceptScore W2896581036C41008148 @default.
- W2896581036 hasLocation W28965810361 @default.
- W2896581036 hasLocation W28965810362 @default.
- W2896581036 hasLocation W28965810363 @default.
- W2896581036 hasOpenAccess W2896581036 @default.
- W2896581036 hasPrimaryLocation W28965810361 @default.
- W2896581036 hasRelatedWork W2051487156 @default.
- W2896581036 hasRelatedWork W2073681303 @default.
- W2896581036 hasRelatedWork W2351491280 @default.
- W2896581036 hasRelatedWork W2371447506 @default.
- W2896581036 hasRelatedWork W2386767533 @default.
- W2896581036 hasRelatedWork W2748952813 @default.
- W2896581036 hasRelatedWork W2899084033 @default.
- W2896581036 hasRelatedWork W303980170 @default.
- W2896581036 hasRelatedWork W3141679561 @default.
- W2896581036 hasRelatedWork W4225307033 @default.
- W2896581036 hasVolume "2006" @default.
- W2896581036 isParatext "false" @default.
- W2896581036 isRetracted "false" @default.
- W2896581036 magId "2896581036" @default.
- W2896581036 workType "article" @default.