Results 21 to 30 of about 972 (114)
Stochastic Integration in Abstract Spaces
International Journal of Stochastic Analysis, Volume 2010, Issue 1, 2010., 2010 We establish the existence of a stochastic integral in a nuclear space setting as follows. Let E, F, and G be nuclear spaces which satisfy the following conditions: the spaces are reflexive, complete, bornological spaces such that their strong duals also satisfy these conditions. Assume that there is a continuous bilinear mapping of E × F into G.
J. K. Brooks +2 more
wiley +1 more source
An Ascoli theorem for sequential spaces
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 5, Page 303-315, 2001., 2001 Ascoli theorems characterize “precompact” subsets of the set of morphisms between two objects of a category in terms of “equicontinuity” and “pointwise precompactness,” with appropriate definitions of precompactness and equicontinuity in the studied category.
Gert Sonck
wiley +1 more source
Literature Nots on Bornological Set and Bornological Group
Academic Science JournalIn this work, we explain the basic concepts of bornological structures bornological sets and bornological groups, that solve the problems of boundedness for sets and groups. with some examples and fundamental construction for this structure
Anwar Nooruldeen Imran AI-SAIHI +3 more
doaj +1 more source
Hausdorff Dimension in Convex Bornological Spaces
Journal of Mathematical Analysis and Applications, 2002 Soit \(Z\) une partie d'un espace localement convexe bornologique \(X\). Pour un disque borné \(D\) de \(X\) et le sous-espace vectoriel \(X_D\) engendre par \(D\), on désigne par \(d_D(Z)\) la limite de la dimension de \(Z\cap X_D\cap X_D\), pour tous les disques bornés \(D'\) de \(X\) , puis par \(\dim_H(Z)\) (dite dimension de Hausdorff de \(Z\)) la
Almeida, J., Barreira, L.
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Buchwalter‐Schmets theorems and linear topologies
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 13-16, 1999., 1999 In this paper, we obtain Buchwalter‐Schmets theorems in the realm of Lefschetz linearly topologized spaces.
L. M. Sánchez Ruiz, J. R. Ferrer
wiley +1 more source
Relations between exponential laws for spaces of C∞‐functions
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 209-218, 1997., 1995 In this paper we prove that some new as well as some already existing exponential laws for spaces of C∞‐ and holomorphic functions can all be generated from one general exponential law.
Peter Biström
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, 2013 We study the twisted K-theory and K-homology of some infinite dimensional spaces, like SU(\infty), in the bivariant setting. Using a general procedure due to Cuntz we construct a bivariant K-theory on the category of separable \sigma-C^*-algebras that ...
Mahanta, Snigdhayan
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Mackey convergence and quasi‐sequentially webbed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 17-26, 1991., 1991 The problem of characterizing those locally convex spaces satisfying the Mackey convergence condition is still open. Recently in [4], a partial description was given using compatible webs. In this paper, those results are extended by using quasi‐sequentially webbed spaces (see Definition 1).
Thomas E. Gilsdorf
wiley +1 more source
B-Bounded cohomology and applications
, 2012 A discrete group with word-length (G,L) is B-isocohomological for a bounding classes B if the comparison map from B-bounded cohomology to ordinary cohomology (with complex coefficients) is an isomorphism; it is strongly B-isocohomological if the same is ...
Ji, R., Ogle, C., Ramsey, B.
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Topology and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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