- Tytuł:
- Factorization through Hilbert space and the dilation of L(X,Y)-valued measures
- Autorzy:
-
Mandrekar, V.
P., P. - Powiązania:
- https://bibliotekanauki.pl/articles/1292450.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
spectral dilation of operator-valued measure
Hilbertian operators
factorization - Opis:
- We present a general necessary and sufficient algebraic condition for the spectral dilation of a finitely additive L(X,Y)-valued measure of finite semivariation when X and Y are Banach spaces. Using our condition we derive the main results of Rosenberg, Makagon and Salehi, and Miamee without the assumption that X and/or Y are Hilbert spaces. In addition we relate the dilation problem to the problem of factoring a family of operators through a single Hilbert space.
- Źródło:
-
Studia Mathematica; 1993, 107, 2; 101-113
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł