A Remark on Operator-Valued Positive-Definite Functions
The result's identifiers
Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A Remark on Operator-Valued Positive-Definite Functions
Original language description
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) fora 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).
Czech name
Sendvičové věty a momentové problémy
Czech description
Je ukázána existence řešení sendvičového problému na neohraničených konečně simpliciálních množinách.
Classification
Type
C - Chapter in a specialist book
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Spectral Analysis and its Applications. To the 70-th anniversary of Professor Ion Colojoaraďs birthday
ISBN
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Number of pages of the result
18
Pages from-to
27-44
Number of pages of the book
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Publisher name
The Theta Foundation
Place of publication
Bucharest
UT code for WoS chapter
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