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Approximation of analytic functions of exponential derived and integral bases in Fréchet spaces [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2022 The purpose of this paper is to establish some theorems on the representation of analytic functions by exponential derived bases (EDBs) and exponential integral bases (EIBs) in Fréchet spaces.
Gamal Hassan, Amira Atta
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Some results on asymptotically normable Frechet spaces
Bibechana, 2010 In this paper, it is shown that the asymptotically normable spaces are the smallest class of Frechet spaces which contains the nuclear Kothe spaces with continuous norm, the Banach spaces and is closed under e-tensor products and sub-spaces.
GK Palei, NP Sah
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Stability of Set Differential Equations in Fréchet Spaces
Advances in Mathematical Physics, 2023 In this paper, we investigate the stability of set differential equations in Fréchet space F. Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space F is a projective limit ...
Junyan Bao, Wei Chen, Peiguang Wang
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Axioms, 2022 The class of measure spaces which can be represented as unions of Lebesgue-Rohlin spaces with continuous measures contains a lot of important examples, such as Rn for any n∈N with the Lebesgue measure.
Taras Vasylyshyn, Kostiantyn Zhyhallo
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Characterization of Frechet spaces with nuclear Kothe quotients
Bibechana, 2014 In this paper our result based on the characterization of Frechet spaces with nuclear Kothe quotients is in terms of the following condition which labeled as ?. We show that a Frechet spaces E satisfies condition ? if and only if it has a quotient which
Satya Narayan Sah
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International Journal of Mathematics and Mathematical Sciences, 1999 First, we introduce sequential convergence structures and characterize Fréchet spaces and continuous functions in Fréchet spaces using these structures.
Woo Chorl Hong
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Global existence and controllability to a stochastic integro-differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we are focused upon the global uniqueness results for a stochastic integro-differential equation in Fréchet spaces. The main results are proved by using the resolvent operators combined with a nonlinear alternative of Leray-Schauder type ...
Yong-Kui Chang, Zhi-Han Zhao, Juan Nieto
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Strong Fréchet properties of spaces constructed from squares and AD families
Applied General Topology, 2023 We answer questions of Arhangel'skiĭ using spaces defined from combinatorial objects. We first establish further convergence properties of a space constructed from □ ( κ ) showing it is Fréchet-Urysohn for finite sets and a w-space that is not a W-space.
William Chen-Mertens +2 more
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ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE
Ural Mathematical Journal, 2023 The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of a continuous function. This mean value inequality finds an intermediate point and localizes its value both from above and from below; for this reason ...
Dmitry V. Khlopin
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I: Fréchet-Urysohn spaces [PDF]
Mathematica Moravica, 2016 In this paper, we introduce the concept ss-sequentially quotient mapping. Using this concept, we characterize s-Fréchet-Urysohn spaces and s-sequential spaces.
Renukadevi V., Prakash B.
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