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

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