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Spectral Analysis and its Applications. To the 70-th anniversary of Professor Ion Colojoaraďs birthday

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    0106808 - MU-W 20040015 RIV RO eng M - Monography Chapter
    Ambrozie, Calin-Grigore
    A Remark on Operator-Valued Positive-Definite Functions.
    [Sendvičové věty a momentové problémy.]
    Spectral Analysis and its Applications. To the 70-th anniversary of Professor Ion Colojoaraďs birthday. Bucharest: The Theta Foundation, 2003, s. 27-44
    Institutional research plan: CEZ:AV0Z1019905
    Keywords : positive-definite * decomposable operator
    Subject RIV: BA - General Mathematics

    In particular, we show in this note that if all the operators .GAMMA.(s,t) aredecomposable in Dixmierďs sense on a space ....., where H is a Hilbert space, then we can choose the factors G(s) (s . S) also to be decomposable, with K = L2(.LAMBDA., K) for a Hilbert space K. More generally, we prove that whenever .GAMMA. is equivariant with respect to certain group actions on S and ., we can take G (.) also compatible with these actions (Theorems 3.2, 3.6, 3.8).

    Je ukázána existence řešení sendvičového problému na neohraničených konečně simpliciálních množinách.
    Permanent Link: http://hdl.handle.net/11104/0013982

     
     
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