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The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis [PDF]

open access: yesMathematics, 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
doaj   +6 more sources

Grothendieck’s inequality in the noncommutative Schwartz space [PDF]

open access: yesStudia 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 Fréchet 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
core   +9 more sources

On the Schwartz space of the basic affine space [PDF]

open access: yesSelecta Mathematica, 1999
28 pages, LaTeX, no figures; a small mistake in Section 6 is ...
Braverman, Alexander, Kazhdan, David
openaire   +3 more sources

L$_p$-C$^*$-Semi-Inner Product Spaces [PDF]

open access: yesSahand 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
doaj   +1 more source

Statistical Ergodic Theorem in Symmetric Spaces for Infinite Measures

open access: yesСовременная математика: Фундаментальные направления, 2021
Let (Ω,μ) be a measurable space with σ -finite continuous measure, μ(Ω)=∞. A linear operator T:L1(Ω)+L∞(Ω)→L1(Ω)+L∞(Ω) is called the Dunford-Schwartz operator if ||T(f)||1||f||1 (respectively, ||T(f)||∞||f||∞) for all f∈L1(Ω) (respectively, f∈L∞(Ω)). {Tt}
A. S. Veksler, V. I. Chilin
doaj   +1 more source

Neutrosophic Real Inner Product Spaces [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

On singularity confinement for the pentagram map [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Schwartz Rounds for Staff in an Australian Tertiary Hospital: Protocol for a Pilot Uncontrolled Trial

open access: yesJMIR 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
doaj   +1 more source

Absence of Non-Trivial Fuzzy Inner Product Spaces and the Cauchy–Schwartz Inequality

open access: yesMathematics, 2020
First, we show that the non-trivial fuzzy inner product space under the linearity condition does not exist, which means a fuzzy inner product space with linearity produces only a crisp real number for each pair of vectors. If the positive-definiteness is
Taechang Byun   +3 more
doaj   +1 more source

Using the Circular Model to Analyse Political Values: The Case of the Pirate Parties

open access: yesPolish Political Science Yearbook, 2023
Political parties that operate in the public space are classified, inter alia, according to the criterion of their ideological convergence (Mair, 2010; Gallagher, Laver, Mair, 2011).
Przemysław Maj
doaj   +1 more source

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