About: A Note on the Index of B-Fredholm Operators

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Je známo, že když S a T jsou komutující B-Fredholmovské operátory na Banachově prostoru X, pak ST je B-Fredholmův operátor.V této poznámce ukazujeme, že obecně neplatí ind (ST) = ind (S) + ind(T). Nicméně, jestliže existují U,V tak, že S, T, U, V komutují a US + VT = I, pak ind (ST) = ind (S) + ind (T). (cs) We know that if S,T are commuting B-Fredholm operators acting on a Banach space X, then ST is a B-Fredholm operator. In this note we show that in general wedo not have ind (ST) = ind (S) + ind (T). However, if there exist U, V such that S, T, U, V are commuting and US + VT = I, then ind (ST) = ind (S) + ind (T). We know that if S,T are commuting B-Fredholm operators acting on a Banach space X, then ST is a B-Fredholm operator. In this note we show that in general wedo not have ind (ST) = ind (S) + ind (T). However, if there exist U, V such that S, T, U, V are commuting and US + VT = I, then ind (ST) = ind (S) + ind (T). (en)
Title	A Note on the Index of B-Fredholm Operators A Note on the Index of B-Fredholm Operators (en) Poznámka o indexu B-Fredholmovských operátorů (cs)
skos:prefLabel	A Note on the Index of B-Fredholm Operators A Note on the Index of B-Fredholm Operators (en) Poznámka o indexu B-Fredholmovských operátorů (cs)
skos:notation	RIV/67985840:_____/04:00106839!RIV/2005/AV0/A05005/N
http://linked.open.../vavai/riv/strany	177;180
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(KSK1019101), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2005
http://linked.open...aciTvurceVysledku	Medková, Dagmar
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	553069
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/04:00106839
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	B-Fredholm operators;index (en)
http://linked.open.../riv/klicoveSlovo	B-Fredholm operators index
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[61BCDAD4605F]
http://linked.open...i/riv/nazevZdroje	Mathematica Bohemica
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Mathematics, computer science and cybernetics: methods, tools and applications
http://linked.open...UplatneniVysledku	2004
http://linked.open...v/svazekPeriodika	129
http://linked.open...iv/tvurceVysledku	Medková, Dagmar Berkani, M.
http://linked.open...n/vavai/riv/zamer	Complex development of all branches of mathematics with regard to the needs of physics and technology
issn	0862-7959
number of pages	4 (xsd:int)

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