Results 1 to 10 of about 5,306,168 (294)
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
Mathematics, 2015 An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with ...
Jeremy Becnel, Ambar Sengupta
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Characterization for Beurling-Björck space and Schwartz space [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: We give an elementary proof of the equivalence of the original definition of Schwartz and our characterization for the Schwartz space \(\mathcal{S}\). The new proof is based on the Landau inequality concerning the estimates of derivatives. Applying the same method, as an application, we give a better symmetric characterization of the Beurling ...
Chung, Soon-Yeong +2 more
semanticscholar +4 more sources
Grothendieck’s inequality in the noncommutative Schwartz space [PDF]
Studia Mathematica, 2016 In the spirit of Grothendieck's famous inequality from the theory of Banach spaces, we study a sequence of inequalities for the noncommutative Schwartz space, a Fr chet algebra of smooth operators. These hold in non-optimal form by a simple nuclearity argument. We obtain optimal versions and reformulate the inequalities in several different ways.
Levene, Rupert H., Piszczek, Krzysztof
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Composition operators on the Schwartz space [PDF]
Revista Matemática Iberoamericana, 2018 We study composition operators on the Schwartz space of rapidly decreasing functions. We prove that such a composition operator is never a compact operator and we obtain necessary or sufficient conditions for the range of the composition operator to be closed.
GALBIS VERDU, ANTONIO +1 more
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L$_p$-C$^*$-Semi-Inner Product Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 This article introduces the notion of L$_p$-C$^*$-semi-inner product space, a generalization of the concept of C$^*$-semi-inner product space introduced by Gamchi et al., where we consider H\"{o}lder's inequality instead of Cauchy Schwartz' inequality ...
Zakiye Khalili +3 more
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Neutrosophic Real Inner Product Spaces [PDF]
Neutrosophic Sets and Systems, 2021 The objective of this work is to define for the first time the concept of inner product in a neutrosophic vector space and a refined neutrosophic vector space.
Mohammad Abobala
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Momentum ray transforms, II: range characterization in the Schwartz space [PDF]
Inverse Problems, 2019 The momentum ray transform Ik integrates a rank m symmetric tensor field f over lines of with the weight tk: We give the range characterization for the operator on the Schwartz space of rank m smooth fast decaying tensor fields.
V. Krishnan +3 more
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On singularity confinement for the pentagram map [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The pentagram map, introduced by R. Schwartz, is a birational map on the configuration space of polygons in the projective plane. We study the singularities of the iterates of the pentagram map.
Max Glick
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Dynamics and spectra of composition operators on the Schwartz space [PDF]
Journal of Functional Analysis, 2017 In this paper we study the dynamics of the composition operators defined in the Schwartz space $\mathcal{S}(\mathbb{R})$ of rapidly decreasing functions.
Carmen Fern'andez, A. Galbis, E. Jord'a
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JMIR Research Protocols, 2022 BackgroundSchwartz Rounds are a unique, organization-wide interdisciplinary intervention aimed at enhancing staff well-being, compassionate care, teamwork, and organizational culture in health care settings.
Tatjana Ewais +6 more
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