Suchergebnisse - "continuous function spaces"
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Perturbations of norm-additive maps between continuous function spaces
ISSN: 0013-0915, 1464-3839Veröffentlicht: Cambridge, UK Cambridge University Press 01.11.2024Veröffentlicht in Proceedings of the Edinburgh Mathematical Society (01.11.2024)“… Let $X, Y$ be two locally compact Hausdorff spaces and $T:C_0(X)\rightarrow C_0(Y)$ be a standard surjective ɛ-norm-additive map, i.e. \begin{equation*} …”
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Hölder Continuous Solutions of Second Order Degenerate Differential Equations with Finite Delay
ISSN: 1422-6383, 1420-9012Veröffentlicht: Cham Springer International Publishing 01.03.2019Veröffentlicht in Resultate der Mathematik (01.03.2019)“… In this paper, we characterize the C α -well-posedness of the second order degenerate differential equation with finite delay ( M u ) ′ ′ ( t ) = A u ( t ) + F …”
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Well-posedness of second order differential equations in Hölder continuous function spaces
ISSN: 1607-3606, 1727-933XVeröffentlicht: Grahamstown Taylor & Francis 26.11.2019Veröffentlicht in Quaestiones mathematicae (26.11.2019)“… By using operator-valued Ċ α -Fourier multiplier results on vector-valued Hölder continuous function spaces C α (ℝ; X) proved by Arendt, Batty and Bu, we …”
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Well-posedness of second order degenerate differential equations in Hölder continuous function spaces
ISSN: 0723-0869, 1878-0792Veröffentlicht: Elsevier GmbH 2016Veröffentlicht in Expositiones mathematicae (2016)“… Using operator-valued Ċα-Fourier multiplier results on vector-valued Hölder continuous function spaces, we completely characterize the Cα-well-posedness of …”
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On the continuous Cesàro operator in certain function spaces
ISSN: 1385-1292, 1572-9281Veröffentlicht: Basel Springer Basel 01.09.2015Veröffentlicht in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.09.2015)“… Various properties of the (continuous) Cesàro operator C , acting on Banach and Fréchet spaces of continuous functions and L p -spaces, are investigated. For …”
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Uniqueness of simultaneous approximations in continuous function spaces
ISSN: 0893-9659, 1873-5452Veröffentlicht: Oxford Elsevier Ltd 01.04.2008Veröffentlicht in Applied mathematics letters (01.04.2008)“… The present work is concerned with the uniqueness problem of best simultaneous approximation. An n -dimensional l 1 - or l ∞ -simultaneous unicity space is …”
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Isometric shifts on [formula omitted]
ISSN: 0022-247X, 1096-0813Veröffentlicht: Elsevier Inc 2002Veröffentlicht in Journal of mathematical analysis and applications (2002)“… For a linear isometry T :C 0(X)→C 0(Y) of finite corank, there is a cofinite subset Y 1 of Y such that Tf |Y 1 =h·f∘ϕ is a weighted composition operator and X …”
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Continuous function spaces, (db)-spaces and strongly Hewitt spaces
ISSN: 0166-8641, 1879-3207Veröffentlicht: Elsevier B.V 14.06.2004Veröffentlicht in Topology and its applications (14.06.2004)“… We solve the long standing problem of characterizing those Tychonov spaces X for which the function space, C κ ( X), of realvalued continuous functions with …”
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On the property (db) for continuous function spaces
ISSN: 0166-8641, 1879-3207Veröffentlicht: Elsevier B.V 1999Veröffentlicht in Topology and its applications (1999)“… It is shown that the space C( X) of all continuous real-valued functions with the compact-open topology has the property (db) iff X is a μ-space and a …”
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On the density of CV0(X)⊗A in CV0(X,A)
ISSN: 0022-247XVeröffentlicht: Elsevier Inc 15.02.2024Veröffentlicht in Journal of mathematical analysis and applications (15.02.2024)“… Let X be a completely regular Hausdorff space and V a Nachbin family on X. For a locally convex algebra A, let CV0(X,A) be the algebra of all weighted …”
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Fredholm separating maps on continuous function spaces
ISSN: 0022-247X, 1096-0813Veröffentlicht: Elsevier Inc 01.06.2024Veröffentlicht in Journal of mathematical analysis and applications (01.06.2024)“… For locally compact Hausdorff spaces X and Y, we initiate a study of Fredholm separating maps T from C(X) into C(Y). Our key aim is to completely recognize the …”
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Approximation by pointwise bounded sets of continuous functions
ISSN: 0166-8641Veröffentlicht: 01.08.2022Veröffentlicht in Topology and its applications (01.08.2022)Volltext
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On ε-phase-isometries between the positive cones of continuous function spaces
ISSN: 0019-5588, 0975-7465Veröffentlicht: Heidelberg Springer Nature B.V 01.06.2025Veröffentlicht in Indian journal of pure and applied mathematics (01.06.2025)“… Let K and T be compact Hausdorff spaces, C+(K)={f∈C(K):f(k)≥0forallk∈K} be the positive cone of C(K). In this paper, we prove that if K is a compact Hausdorff …”
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Some boundedness results for Riemann-Liouville tempered fractional integrals
ISSN: 1311-0454, 1314-2224Veröffentlicht: Cham Springer International Publishing 01.04.2024Veröffentlicht in Fractional calculus & applied analysis (01.04.2024)“… In this work we generalize some results of the Riemann-Liouville fractional calculus for the tempered case, namely, we deal with some boundedness results of …”
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On Perturbed Isometries Between the Positive Cones of Certain Continuous Function Spaces
ISSN: 1422-6383, 1420-9012Veröffentlicht: Cham Springer International Publishing 01.04.2023Veröffentlicht in Resultate der Mathematik (01.04.2023)“… Let X , Y be two compact Hausdorff perfectly normal spaces (in particular, compact metrizable spaces), C ( X ) be the real Banach space of all continuous …”
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Functional Space Consisted by Continuous Functions on Topological Space
ISSN: 1898-9934, 1426-2630, 1898-9934Veröffentlicht: Bialystok Walter de Gruyter GmbH 01.04.2021Veröffentlicht in Formalized Mathematics (01.04.2021)“… In this article, using the Mizar system [1], [2], first we give a definition of a functional space which is constructed from all continuous functions defined …”
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On non-linear ε-isometries between the positive cones of certain continuous function spaces
ISSN: 2639-7390, 2008-8752Veröffentlicht: Cham Springer International Publishing 01.10.2021Veröffentlicht in Annals of functional analysis (01.10.2021)“… Let X , Y be two w ∗ -almost smooth Banach spaces, C ( B ( X ∗ ) , w ∗ ) be the Banach space of all continuous real-valued functions on B ( X ∗ ) endowed with …”
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A note on the stability of isometries on the positive cones of continuous function spaces
ISSN: 0019-5588, 0975-7465Veröffentlicht: New Delhi Indian National Science Academy 01.03.2021Veröffentlicht in Indian journal of pure and applied mathematics (01.03.2021)“… Let K be a compact Hausdorff space, Y be a Banach space, C ( K ) be the real Banach spaces of all continuous functions on K endowed with the supremum norm and …”
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Well-posedness of degenerate differential equations in Hölder continuous function spaces
ISSN: 2731-8648, 2731-8656Veröffentlicht: Dordrecht Springer Nature B.V 01.04.2015Veröffentlicht in Frontiers of Mathematics (01.04.2015)“… Using known operator-valued Fourier multiplier results on vectorvalued Hölder continuous function spaces, we completely characterize the wellposedness of the …”
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Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces
ISSN: 0008-4395, 1496-4287Veröffentlicht: Canada Canadian Mathematical Society 01.12.2019Veröffentlicht in Canadian mathematical bulletin (01.12.2019)“… In this paper, by using operator-valued ${\dot{C}}^{\unicode[STIX]{x1D6FC}}$ -Fourier multiplier results on vector-valued Hölder continuous function spaces, we …”
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