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The multiplier algebra of the noncommutative Schwartz space

Banach Journal of Mathematical Analysis, 2017
We describe the multiplier algebra of the noncommutative Schwartz space. This multiplier algebra can be seen as the largest ${}^*$-algebra of unbounded operators on a separable Hilbert space with the classical Schwartz space of rapidly decreasing ...
Tomasz Ciaś, Krzysztof Piszczek
semanticscholar   +3 more sources

THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE

Glasgow Mathematical Journal, 2016
AbstractWe show in a straightforward way that the non-commutative Schwartz space is weakly amenable. At the end, we leave an open problem.
Krzysztof Piszczek
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Schwartz Space

Tools for Infinite Dimensional Analysis, 2020
Jeremy Becnel
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The Fourier Transform in Schwartz Space

2017
Consider the Euclidean space \(\mathbb {R}^n\), \(n\ge 1\), with \(x=(x_1,\ldots , x_n)\in \mathbb {R}^n\) and with \(|x|=\sqrt{x_1^2+\cdots +x_n^2}\) and scalar product \((x, y)=\sum _{j=1}^n x_j y_j\).
V. Serov
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Automatic continuity and amenability in the non-commutative Schwartz space

Journal of Mathematical Analysis and Applications, 2015
Krzysztof Piszczek
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LINEAR CANONICAL TRANSFORM AND SCHWARTZ TYPE SPACES

South East Asian Journal of Mathematics and Mathematical Sciences, 2023
In this paper we have defined the Schwartz type spaces SΔ,α,A, SΔ,β,B,SΔ,β,B Δ,α,A . We have studied the mapping properties of LCT between these spaces.
Waphare, B. B., Shaikh, R. Z.
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Two results on Fr�chet Schwartz spaces

Archiv der Mathematik, 1993
Two results on Fréchet-Schwartz spaces are proved. (1) Every Fréchet-Schwartz space is isomorphic to a quotient of a Köthe-Schwartz space of type \(\lambda^ 1(A)\). (2) Every countably normed Fréchet-Schwartz space is isomorphic to a (closed) subspace of a Köthe-Schwartz space of type \(\lambda^ \infty(A)\) with a continuous norm.
Vogt, Dietmar, Walldorf, Volker
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The Schwartz space of a smooth semi-algebraic stack

, 2015
Schwartz functions, or measures, are defined on any smooth semi-algebraic (“Nash”) manifold, and are known to form a cosheaf for the semi-algebraic restricted topology.
Y. Sakellaridis
semanticscholar   +1 more source

On Schwartz Convergence Vector Spaces

Mathematische Nachrichten, 1984
The theory of Schwartz locally convex spaces and the theory of Schwartz convex bornological spaces are in a sense dual theories. In this paper we have introduced the concept of Schwartz convergence vector spaces, which unifies these two theories. Most of the theory concerns the category of \(L_ e\)-embedded spaces, i.e. spaces E for which the canonical
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Wave Packets in the Schwartz Space of a Reductive p-adic Symmetric Space

Journal of Lie theory, 2012
We form wave packets in the Schwartz space of a reductive p-adic symmetric space for certain famillies of tempered functions. We show how to construct such families from Eisenstein integrals.
P. Delorme, P. Harinck
semanticscholar   +1 more source

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