Results 11 to 20 of about 129,807 (319)
Topological tensor products and asymptotic developments [PDF]
The author shows that the space of holomorphic functions of several variables which have an asymptotic development in the classical sense of Poincaré and in the sense of Gevrey are nuclear spaces, and that they coincide with the complete tensor product of copies of the corresponding space in the one variable case.
Jorge Mozo-Fernández
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On topological tensor products of functional Fréchet and DF spaces [PDF]
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
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Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space [PDF]
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits. This symmetry is associated with a topological defect and a conserved operator, and the latter can be presented as a matrix ...
Nathan Seiberg, Sahand Seifnashri, Shu-Heng Shao
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On some topological indices of the tensor products of graphs
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
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On the tensor product of a class of non-locally convex topological vector spaces [PDF]
Let f be a non-negative continuous subadditive real valued function defined on [0,\(\infty)\) which vanishes only at zero. And let L(f) be the space of all real sequences \(X=(x_ n)\) such that \(| x|_ f=\Sigma f(| x_ n|)
W. Deeb, Roshdi Khalil
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Heredity of tensor products of topological algebras
The purpose of the present paper is to put into the context of the theory of tensor products of topological algebras [9], [10] some recent results concerning certain properties of permanence of a tensor product of Banach algebras [4], [5]. A brief report of the main results of this paper has been given in [11].
Anastasios Mallios
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A survey on duals of topological tensor products
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
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Hochschild cohomology of tensor products of topological algebras [PDF]
AbstractWe describe explicitly the continuous Hochschild and cyclic cohomology groups of certain tensor products of $\widehat{\otimes}$-algebras which are Fréchet spaces or nuclear DF-spaces. To this end we establish the existence of topological isomorphisms in the Künneth formula for the cohomology of complete nuclear DF-complexes and in the Künneth ...
Zinaida A. Lykova
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Topologies on quotient space of matrices via semi‐tensor product [PDF]
An equivalence of matrices via semi‐tensor product (STP) is proposed. Using this equivalence, the quotient space is obtained. Parallel and sequential arrangements of the natural projection on different shapes of matrices lead to the product topology and ...
D. Cheng, Zequn Liu
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Topological radicals, I. Basic properties, tensor products and joint quasinilpotence [PDF]
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
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