Results 11 to 20 of about 330,801 (292)
A survey on duals of topological tensor products [PDF]
arXiv, 2016 We give a survey on classical and recent results on dual spaces of topological tensor products as well as some examples where these are used.
Eduard A. Nigsch, Norbert Ortner
arxiv +6 more sources
Tensor products in the category of topological vector spaces are not associative [PDF]
arXiv, 2003 We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathology occurs for tensor products of Hausdorff abelian topological groups.
Helge Glöckner
arxiv +5 more sources
Topological properties in tensor products of Banach spaces
Journal of Functional Analysis, 2022 Given two Banach spaces $X$ and $Y$, we analyze when the projective tensor product $X\widehat{\otimes}_ Y$ has Corson's property (C) or is weakly Lindel f determined (WLD), subspace of a weakly compactly generated (WCG) space or subspace of a Hilbert generated space. For instance, we show that: (i) $X\widehat{\otimes}_ Y$ is WLD if and only if both $
Antonio Avilés +3 more
+7 more sources
Compactness in Topological Tensor Products and Operator Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 Let E and F be Banach spaces, E(?F their algebraic tensor product, and E (?,a F the completion of E(?F with respect to a uniform crossnorm oc?i (where ) is the "least", and y the greatest, crossnorm). In ?2 we characterize the relatively compact subsets of E (DA Fas those which, considered as spaces of operators from E* to F and from F* to E, take the ...
J. R. Holub
+5 more sources
On topological tensor products of functional Fréchet and DF spaces [PDF]
Integral Transforms and Special Functions, 2009 A convenient technique for calculating completed topological tensor products of functional Frechet and DF spaces is developed. The general construction is applied to proving kernel theorems for a wide class of spaces of smooth and entire analytic functions.
A. G. Smirnov
openalex +3 more sources
On some topological indices of the tensor products of graphs
Discrete Applied Mathematics, 2011 AbstractThe Wiener index of a connected graph G, denoted by W(G), is defined as 12∑u,v∈V(G)dG(u,v). Similarly, hyper-Wiener index of a connected graph G, denoted by WW(G), is defined as 12W(G)+14∑u,v∈V(G)dG2(u,v). The Padmakar–Ivan (PI) index of a graph G is the sum over all edges uv of G of the number of vertices which are not equidistant from u and v.
K. Pattabiraman, P. Paulraja
openalex +3 more sources
Topological radicals, I. Basic properties, tensor products and joint quasinilpotence [PDF]
arXiv, 2012 The work starts a series of papers on topological radicals and their applications. Among other results we present a theory of radicals related to the joint tensor radius.
Victor S. Shulman, Yuri V. Turovskii
arxiv +4 more sources
SOME ALGEBRAIC AND TOPOLOGICAL PROPERTIES OF THE NONABELIAN TENSOR PRODUCT [PDF]
Bulletin of the Korean Mathematical Society, 2013 Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.
Daniele Ettore Otera +2 more
openalex +5 more sources
Topological tensor products and asymptotic developments [PDF]
Annales de la faculté des sciences de Toulouse Mathématiques, 1999 Dans cet article, on etudie la structure topologique des espaces de fonctions avec developpement asymptotique fort, dans le cas Poincare et le cas Gevrey. On demontre qu'ils sont nucleaires, et ils sont le complete du produit tensoriel des espaces a une variable.
Jorge Mozo-Fernández
openalex +3 more sources
Topological radicals, I. Basic properties, tensor products and joint quasinilpotence [PDF]
Banach Center Publications, 2005 The work starts a series of papers on topological radicals and their applications. Among other results we present a theory of radicals related to the joint tensor radius.
Victor S. Shulman, Yuri V. Turovskii
openalex +4 more sources