- Tytuł:
- Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
- Autorzy:
- Rusinek, Jan
- Powiązania:
- https://bibliotekanauki.pl/articles/1292446.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
pseudotopology
continuity
composition of operators
differentiability
one-parameter semigroup
von Neumann algebra
integration
Lie algebra representation - Opis:
- For any pair E,F of pseudotopological vector spaces, we endow the space L(E,F) of all continuous linear operators from E into F with a pseudotopology such that, if G is a pseudotopological space, then the mapping L(E,F) × L(F,G) ∋ (f,g) → gf ∈ L(E,G) is continuous. We use this pseudotopology to establish a result about differentiability of certain operator-valued functions related with strongly continuous one-parameter semigroups in Banach spaces, to characterize von Neumann algebras, and to establish a result about integration of Lie algebra representations.
- Źródło:
-
Studia Mathematica; 1993, 107, 3; 273-286
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł