Topological tensor products of a Fréchet-Schwartz space and a Banach space [PDF]
Studia Mathematica, 1993 Summary: We exhibit examples of countable injective inductive limits \(E\) of Banach spaces with compact linking maps (i.e. (DFS)-spaces) such that \(E\otimes_ \varepsilon X\) is not an inductive limit of normed spaces for some Banach space \(X\). This solves in the negative open questions of Bierstedt, Meise and Hollstein.
Alfredo Peris
openalex +4 more sources
Tensor products of topological abelian groups and Pontryagin duality
Journal of Mathematical Analysis and ApplicationsLet $G$ be the group of all $\ZZ$-valued homomorphisms of the Baer-Specker group $\ZZ^\NN$. The group $G$ is algebraically isomorphic to $\ZZ^{(\NN)}$, the infinite direct sum of the group of integers, and equipped with the topology of pointwise convergence on $\ZZ^\NN$, becomes a non reflexive prodiscrete group.
María V. Ferrer +2 more
openalex +3 more sources
Topological Tensor Products of Unbounded Operator Algebras on Frechet Domains
Publications of the Research Institute for Mathematical Sciences, 1997 The aim of this paper is to investigate topological properties of unbounded operator algebras \mathcal A⊂L^+(D) and its stability under the formation of topological tensor products \mathcal A_1 \otimes_\alpha \mathcal A_2 . It is used
Wolf‐Dieter Heinrichs
openalex +4 more sources
Topological properties of spaces of ideals of the minimal tensor product
, 2009 One shows that for two C^*-algebras A_1 and A_2 any continuous function on Prim(A_1)\times Prim(A_2) can be continuously extended to Prim(A_1\otimes A_2) provided it takes its values in a T_1 topological space. This generalizes a 1977 result of L.G. Brown. A new proof is given for a result of R.J.
Aldo J. Lazar
openalex +4 more sources
Topological modules. Banach algebras, tensor products, algebras of kernels [PDF]
Transactions of the American Mathematical Society, 1967 Jesús Gil de Lamadrid
+6 more sources
A topology on the Fremlin tensor product of locally convex-solid vector lattices
Archiv der MathematikSuppose E and F are locally convex-solid vector lattices. Although we have a suitable vector lattice structure for the tensor product E and F (known as the Fremlin tensor product and denoted by E\otimesF), there is a lack of topological structure on E ...
O. Zabeti
semanticscholar +3 more sources
Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
Physical Review XWe propose a tensor network approach known as the locally purified density operator (LPDO) to investigate the classification and characterization of symmetry-protected topological phases in open quantum systems.
Yuchen Guo +4 more
doaj +2 more sources
Tensor product representation of a topological ordered phase: Necessary symmetry conditions [PDF]
, 2010 The tensor product representation of quantum states leads to a promising variational approach to study quantum phase and quantum phase transitions, especially topological ordered phases which are impossible to handle with conventional methods due to ...
Isaac L. Chuang +4 more
openalex +2 more sources
Coproducts in the category Seg of Segal topological algebras [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
doaj +1 more source
The diagonal of the multiplihedra and the tensor product of
Journal de l'École polytechnique. Mathématiques, 2022 We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule structure over the Loday realizations of the associahedra.
Guillaume Laplante-Anfossi +1 more
semanticscholar +1 more source