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On commuting compact self-adjoint operators on a Pontryagin spaceBhattacharyya, Tirthankar ; Košir, TomažČe so ▫$A_1,A_2,\ldots ,A_n$▫ kompaktni komutirajoči sebi adjungirani operatorji na Pontrjaginovem prostoru ▫$K$▫ indeksa ▫$k$▫, katerih skupni korenski prostor ▫$M_0$▫ pri lastni vrednosti 0 v ... ▫$\mathbb C^n$▫ je nedegeneriran, potem obstajata skupna invariantna podprostora ▫$H$▫ in ▫$F$▫ v ▫$K$▫, za katere je ▫$K = F \oplus H$▫, ▫$H$▫ je Hilbertov prostor, ▫$F$▫ je končno razsežen in ▫$k \le \dim F \le (n+2)k$▫. Podobno opišemo še strukturo zožitev ▫$A_j|_F$▫ v primeru ▫$k=1$▫.Source: Integral equations and operator theory. - ISSN 0378-620X (Vol. 39, no. 4, 2001, str. 377-386)Type of material - article, component partPublish date - 2001Language - englishCOBISS.SI-ID - 11409753
Author
Bhattacharyya, Tirthankar |
Košir, Tomaž
Topics
matematika |
teorija operatorjev |
Pontrjaginov prostor |
komutirajoči operatorji |
normalni operatorji |
kompaktni sebi adjungirani operatorji |
nedegeneriran korenski podprostor |
mathematics |
operator theory |
Pontryagin space |
commuting operators |
normal operators |
compact self-adjoint operators |
nondegenerate root subspace
source: Integral equations and operator theory. - ISSN 0378-620X (Vol. 39, no. 4, 2001, str. 377-386)
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