Temat: spaces of continuous functions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A class of $l^1$-preduals which are isomorphic to quotients of $C(ω^ω)$
Autorzy:: Gasparis, Ioannis
Powiązania:: https://bibliotekanauki.pl/articles/1216989.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: spaces of continuous functions
countable compact spaces
$l_1$-preduals
Opis:: For every countable ordinal α, we construct an $l_1$-predual $X_α$ which is isometric to a subspace of $C ( ω^{ω^{ω^α + 2}} ) $ and isomorphic to a quotient of $C(ω^ω)$. However, $X_α$ is not isomorphic to a subspace of $C(ω^{ω^α})$.
Źródło:: Studia Mathematica; 1999, 133, 2; 131-143
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Complex Unconditional Metric Approximation Property for $C_{Λ}(\mathbb{T})$ spaces
Autorzy:: Li, Daniel
Powiązania:: https://bibliotekanauki.pl/articles/1220918.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Unconditional Metric Approximation Property
translation invariant spaces of continuous functions
Rosenthal set
Riesz set
linear invariant lifting
Opis:: We study the Complex Unconditional Metric Approximation Property for translation invariant spaces $C_{Λ}(\mathbb{T})$ of continuous functions on the circle group. We show that although some "tiny" (Sidon) sets do not have this property, there are "big" sets Λ for which $C_{Λ}(\mathbb{T})$ has (ℂ-UMAP); though these sets are such that $L_{Λ}^{∞}(\mathbb{T})$ contains functions which are not continuous, we show that there is a linear invariant lifting from these $L_{Λ}^{∞}(\mathbb{T})$ spaces into the Baire class 1 functions.
Źródło:: Studia Mathematica; 1996, 121, 3; 231-247
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

Skocz do pozycji: 4.

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: 5.

Tytuł:: Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity
Autorzy:: Domański, P.
Drewnowski, L.
Powiązania:: https://bibliotekanauki.pl/articles/1293180.pdf
Data publikacji:: 1992
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Fréchet spaces of (weakly, weak*) continuous vector-valued functions injective Fréchet spaces
spaces complemented in dual Fréchet spaces
complemented copies of $c_0$
Josefson-Nissenzweig theorem
Opis:: Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.
Źródło:: Studia Mathematica; 1992, 102, 3; 257-267
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function
Autorzy:: Pruss, Alexander R.
Powiązania:: https://bibliotekanauki.pl/articles/1288753.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: algebra of all continuous functions
normed commutative algebra
non-existence of norm
topological spaces admitting unbounded functions
Opis:: Let X be any topological space, and let C(X) be the algebra of all continuous complex-valued functions on X. We prove a conjecture of Yood (1994) to the effect that if there exists an unbounded element of C(X) then C(X) cannot be made into a normed algebra.
Źródło:: Studia Mathematica; 1995, 116, 3; 295-297
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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