Temat: strict topologies - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Weakly precompact operators on $C_{b}(X,E)$ with the strict topology
Autorzy:: Stochmal, Juliusz
Powiązania:: https://bibliotekanauki.pl/articles/729586.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: spaces of vector-valued continuous functions
strict topologies
operator measures
strongly bounded operators
weakly precompact operators
Opis:: Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let $C_{b}(X,E)$ be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operators $T:C_{b}(X,E) → F$. In particular, we show that if X is a paracompact k-space and E contains no isomorphic copy of l¹, then every strongly bounded operator $T:C_{b}(X,E) → F$ is weakly precompact.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 1; 65-77
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Topological properties of some spaces of continuous operators
Autorzy:: Nowak, Marian
Powiązania:: https://bibliotekanauki.pl/articles/729596.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: spaces of vector-valued continuous functions
strict topologies
operator measures
topology of simple convergence
continuous operators
Opis:: Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let $C_b(X,E)$ be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study topological properties of the space $L_{β}(C_{b}(X,E),F)$ of all $(β,||·||_{F})$-continuous linear operators from $C_{b}(X,E)$ to F, equipped with the topology $τ_{s}$ of simple convergence. If X is a locally compact paracompact space (resp. a P-space), we characterize $τ_{s}$-compact subsets of $L_{β}(C_{b}(X,E),F)$ in terms of properties of the corresponding sets of the representing operator-valued Borel measures. It is shown that the space $(L_{β}(C_{b}(X,E),F),τ_{s})$ is sequentially complete if X is a locally compact paracompact space.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 1; 79-86
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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