The class of co-Namioka compact spaces is stable under product
نویسندگان
چکیده
منابع مشابه
A Class of compact operators on homogeneous spaces
Let $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and $H$ be a compact subgroup of $G$. For an admissible wavelet $zeta$ for $varpi$ and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.
متن کاملMeasures on the Product of Compact Spaces
If K is an uncountable metrizable compact space, we prove a “factorization” result for a wide variety of vector valued Borel measures μ defined onK. This result essentially says that for every such measure μ there exists a measure μ′ defined on K such that the measure μ of a product A1 × · · · × An of Borel sets of K equals the measure μ′ of the intersection A1 ∩ · · · ∩An, where the Ai’s are c...
متن کاملa class of compact operators on homogeneous spaces
let $varpi$ be a representation of the homogeneous space $g/h$, where $g$ be a locally compact group and $h$ be a compact subgroup of $g$. for an admissible wavelet $zeta$ for $varpi$ and $psi in l^p(g/h), 1leq p
متن کاملProperties of the Product of Compact Topological Spaces
One can prove the following proposition (1) For all topological spaces S, T holds Ω[: S, T :] = [:ΩS , ΩT :]. Let X be a set and let Y be an empty set. Note that [:X, Y :] is empty. Let X be an empty set and let Y be a set. Observe that [:X, Y :] is empty. We now state the proposition (2) Let X, Y be non empty topological spaces and x be a point of X. Then Y 7−→ x is a continuous map from Y int...
متن کاملKadec norms on spaces of continuous functions
We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1996
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-96-03330-8