Results 21 to 30 of about 102 (83)

Weighted Vector‐Valued Holomorphic Functions on Banach Spaces

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We study the weighted Banach spaces of vector‐valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of an open and connected subset U of a Banach space X, with values in another Banach space E, and ...
Enrique Jordá, Anna Mercaldo
wiley   +1 more source

Topologizing Homeomorphism Groups

Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013
This paper surveys topologies, called admissible group topologies, of the full group of self‐homeomorphisms ℋ(X) of a Tychonoff space X, which yield continuity of both the group operations and at the same time provide continuity of the evaluation function or, in other words, make the evaluation function a group action of ℋ(X) on X.
A. Di Concilio, Manuel Sanchis
wiley   +1 more source

Remarks on the Stone–Čech and Alexandroff compactifications of locales

Journal of Pure and Applied Algebra, 2008
\textit{B. Banaschewski} has shown in ``Compactification of frames'' [Math. Nachr. 149, 105--115 (1990; Zbl 0722.54018)] that, given a completely regular frame \(L\), every compactification of \(L\) can be constructed as a frame of ``round'' ideals with respect to some strong inclusion on \(L\).
openaire   +2 more sources

The compactificability classes of certain spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
We apply the theory of the mutual compactificability to some spaces, mostly derived from the real line. For example, any noncompact locally connected metrizable generalized continuum, the Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ...
Martin Maria Kovár
wiley   +1 more source

Line antiderivations over local fields and their applications

International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 2, Page 263-309, 2005., 2005
A non‐Archimedean antiderivational line analog of the Cauchy‐type line integration is defined and investigated over local fields. Classes of non‐Archimedean holomorphic functions are defined and studied. Residues of functions are studied; Laurent series representations are described.
S. V. Ludkovsky
wiley   +1 more source

Spectral integration and spectral theory for non‐Archimedean Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 7, Page 421-442, 2002., 2002
Banach algebras over arbitrary complete non‐Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non‐Archimedean fields. We have determined the spectrum of some closed commutative subalgebras of the Banach algebra ℒ(E) of the continuous linear operators on a free Banach space E ...
S. Ludkovsky, B. Diarra
wiley   +1 more source

The Banach-Mazur compactum is the Alexandroff compactification of a Hilbert cube manifold

, 2002
We prove that for every $n>2$, the Banach-Mazur compactum Q(n) is the compactification of a Hilbert cube manifold by the Euclidean point. For $n=2$ this result was proved earlier.
Ageev, Sergei M., Bogatyi, Semeon A., Repovš, Dušan   +2 more
openaire   +2 more sources

Some topologies on the set of lattice regular measures

International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 681-695, 1992., 1990
We consider the general setting of A.D. Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) the set of all lattice regular, (finitely additive) measures on 𝒜(ℒ).
Panagiotis D. Stratigos
wiley   +1 more source

The Mumford conjecture (after Bianchi)

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley   +1 more source

A duality theorem for solutions of elliptic equations

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 73-85, 1990., 1990
Let L be a second order linear partial differential operator of elliptic type on a domain Ω of ℝm with coefficients in C∞(Ω). We consider the linear space of all solutions of the equation Lu = 0 on Ω with the topology of uniform convergence on compact subsets and describe the topological dual of this space. It turns out that this dual may be identified
Pierre Blanchet
wiley   +1 more source