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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F12%3A00376825%21RIV13-AV0-67985840
rdf:type
skos:Concept n6:Vysledek
dcterms:description
We give an example of commuting pairs A = (A1;A2), B = (B1; B2) of matrices such that AB := (A1B1;A2B2) and BA := (B1A1; B2A2) are commuting pairs but T(AB) , T(BA); moreover, T(AB) n f(z;w) : zw = 0g , T(BA) n f(z;w) : zw = 0g. Further, we show that T(AB) = T(BA) if A and B are criss-cross commuting n-tuples of operators and A is normal. This gives a positive answer to a problem studied in [2]. We give an example of commuting pairs A = (A1;A2), B = (B1; B2) of matrices such that AB := (A1B1;A2B2) and BA := (B1A1; B2A2) are commuting pairs but T(AB) , T(BA); moreover, T(AB) n f(z;w) : zw = 0g , T(BA) n f(z;w) : zw = 0g. Further, we show that T(AB) = T(BA) if A and B are criss-cross commuting n-tuples of operators and A is normal. This gives a positive answer to a problem studied in [2].
dcterms:title
Spectral commutativity of multioperators Spectral commutativity of multioperators
skos:prefLabel
Spectral commutativity of multioperators Spectral commutativity of multioperators
skos:notation
RIV/67985840:_____/12:00376825!RIV13-AV0-67985840
n6:predkladatel
n15:ico%3A67985840
n3:aktivita
n11:P n11:Z
n3:aktivity
P(GA201/06/0128), Z(AV0Z10190503)
n3:cisloPeriodika
1
n3:dodaniDat
n7:2013
n3:domaciTvurceVysledku
n8:8840199
n3:druhVysledku
n9:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
170352
n3:idVysledku
RIV/67985840:_____/12:00376825
n3:jazykVysledku
n5:eng
n3:klicovaSlova
criss-cross commuting; spectral commutativity
n3:klicoveSlovo
n13:criss-cross%20commuting n13:spectral%20commutativity
n3:kodStatuVydavatele
RS - Srbská republika
n3:kontrolniKodProRIV
[737D38E67D65]
n3:nazevZdroje
Functional Analysis, Approximation and Computation
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n16:GA201%2F06%2F0128
n3:rokUplatneniVysledku
n7:2012
n3:svazekPeriodika
4
n3:tvurceVysledku
Cho, M. Müller, Vladimír
n3:zamer
n17:AV0Z10190503
s:issn
1821-410X
s:numberOfPages
5