- Tytuł:
- On the dependence of the orthogonal projector on deformations of the scalar product
- Autorzy:
- Pasternak-Winiarski, Zbigniew
- Powiązania:
- https://bibliotekanauki.pl/articles/1218586.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
scalar product
orthogonal projector
dependence of projectors on scalar products - Opis:
- We consider scalar products on a given Hilbert space parametrized by bounded positive and invertible operators defined on this space, and orthogonal projectors onto a fixed closed subspace of the initial Hilbert space corresponding to these scalar products. We show that the projector is an analytic function of the scalar product, we give the explicit formula for its Taylor expansion, and we prove some algebraic formulas for projectors.
- Źródło:
-
Studia Mathematica; 1998, 128, 1; 1-17
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł