A Theory for Interpolation of Metric Spaces
AxiomsIn this work, we develop an interpolation theory for metric spaces inspired by the real method of interpolation. These interpolation spaces preserve Lipschitz operators under certain conditions.
Robledo Mak’s Miranda Sette +2 more
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Postquantum Br\`{e}gman relative entropies and nonlinear resource theories
, 2019 We introduce the family of postquantum Br\`{e}gman relative entropies, based on nonlinear embeddings into reflexive Banach spaces (with examples given by reflexive noncommutative Orlicz spaces over semi-finite W*-algebras, nonassociative L$_p$ spaces ...
Kostecki, Ryszard Paweł
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On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces [PDF]
, 1983 Andreas Benndorf
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Can Computer Algebra be Liberated from its Algebraic Yoke ?
, 2005 So far, the scope of computer algebra has been needlessly restricted to exact algebraic methods. Its possible extension to approximate analytical methods is discussed.
Barrere, R.
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Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
Journal of Function Spaces and Applications, 2013 The notion of asymptotic almost periodicity was first introduced by Fréchet in 1941 in the case of finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several ...
Liaqat Ali Khan, Saud M. Alsulami
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Differentiability in Fréchet spaces and delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In infinite-dimensional spaces there are non-equivalent notions of continuous differentiability which can be used to derive the familiar results of calculus up to the Implicit Function Theorem and beyond.
Hans-Otto Walther
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On Fuzzy Fréchet Contractions Governed by Rational Expressions and Related Applications
Journal of Applied Science and Engineering. This work explores a specific category of contraction mappings characterized by rational- type within the framework of fuzzy Fréchet spaces(FFS). By utilizing the triangular inequality associated with fuzzy seminorms, we establish fixed point results ...
Ahmed Ghanawi Jasim
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On I-Fréchet-Urysohn spaces and sequential I-convergence groups [PDF]
Mathematica Moravica, 2019 In this paper, we introduce the concept of sequential I-convergence spaces and I-Fréchet-Urysohn space and study their properties. We give a sufficient condition for the product of two sequential I-convergence spaces to be a sequential I-convergence ...
Renukadevi V., Vijayashanthi P.
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Chaos for endomorphisms of completely metrizable groups and linear operators on Fréchet spaces [PDF]
, 2022 Zhen Jiang, Jian Li
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Measurable linear functionals and operators on Fréchet spaces [PDF]
, 1992 Andrzej Wiśniewski
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