Search Results - Vector valued continuous functions spaces
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An example regarding Kalton's paper ‘isomorphisms between spaces of vector-valued continuous functions’
ISSN: 0013-0915, 1464-3839Published: Cambridge, UK Cambridge University Press 01.08.2021Published in Proceedings of the Edinburgh Mathematical Society (01.08.2021)“…$ is a quasi Banach space containing no copy of $c_{0}$ which is isomorphic to a closed subspace of a space with a basis and $C(I,\,X…”
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L ∞ Spaces of Vector-Valued Functions as Spaces of Continuous Functions
ISSN: 1306-7575, 1306-7575Published: 27.05.2024Published in Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi (27.05.2024)“…* measurable functions on to * is linearly isometric to the space ( , ∗*) of continuous functions…”
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Dominated and absolutely summing operators on the space $$\,C_{rc}(X,E)$$ of vector-valued continuous functions
ISSN: 2662-2009, 2538-225XPublished: 01.01.2025Published in Advances in operator theory (01.01.2025)“…Let X be a completely regular Hausdorff space and E and F be Banach spaces. Let $$C_{rc}(X,E)$$ C rc ( X , E ) denote the Banach space of all continuous functions…”
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Nuclear operators on the space $C_{\mathrm{rc}}(X,E)$ of vector-valued continuous functions
ISSN: 0232-2064, 1661-4534Published: 19.04.2024Published in Zeitschrift für Analysis und ihre Anwendungen (19.04.2024)“…Let X be a completely regular Hausdorff space and E and F be Banach spaces. Let C_{\mathrm{rc}}(X,E) denote the Banach space of all continuous functions…”
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Some Classes of Continuous Operators on Spaces of Bounded Vector-Valued Continuous Functions with the Strict Topology
ISSN: 2314-8896, 2314-8888Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2015Published in Journal of function spaces (01.01.2015)“…Let X be a completely regular Hausdorff space and let E , · E and ( F , · F ) be Banach spaces. Let C b ( X , E ) be the space of all E -valued bounded, continuous functions on X , equipped with the strict topology…”
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(LB)-spaces of vector-valued continuous functions
ISSN: 0024-6093, 1469-2120Published: Oxford University Press 01.06.2008Published in The Bulletin of the London Mathematical Society (01.06.2008)“…) of E-valued continuous functions endowed with the uniform topology is again an (LB)-space. We present proofs for the case of hilbertizable Montel…”
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Multilinear isometries on spaces of vector-valued continuous functions
ISSN: 0308-1087, 1563-5139Published: Abingdon Taylor & Francis Ltd 03.08.2018Published in Linear & multilinear algebra (03.08.2018)“…In this paper we study multilinear isometries defined on certain subspaces of vector-valued continuous functions…”
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Finite codimensional isometries on spaces of vector-valued continuous functions
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 01.01.2015Published in Journal of mathematical analysis and applications (01.01.2015)“…Based on the vector-valued generalization of Holsztyński's theorem by M. Cambern, we provide a complete description of the linear isometries of C(X,E) into C(Y,F…”
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On 2-local isometries on continuous vector-valued function spaces
ISSN: 0022-247X, 1096-0813Published: Amsterdam Elsevier Inc 01.06.2009Published in Journal of mathematical analysis and applications (01.06.2009)“…A (not necessarily linear) mapping Φ from a Banach space X to a Banach space Y is said to be a 2 -local isometry if for any pair x , y of elements of X, there is a surjective linear isometry T : X → Y such that T x = Φ x and T y = Φ y…”
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Extension of operators on spaces of vector-valued continuous functions
ISSN: 0019-3577, 1872-6100Published: Elsevier B.V 01.01.2016Published in Indagationes mathematicae (01.01.2016)“… For a Banach space E let Crc(X,E) be the space of all continuous functions f:X→E such that f(X) is a relatively compact set in E, and let B…”
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A note on bi-contractive projections on spaces of vector valued continuous functions
ISSN: 2299-3282, 2299-3282Published: De Gruyter 01.12.2018Published in Concrete operators (Warsaw, Poland) (01.12.2018)“…This paper concerns the analysis of the structure of bi-contractive projections on spaces of vector valued continuous functions and presents results that extend the characterization of bi-contractive…”
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Bilinear isometries on spaces of vector-valued continuous functions
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 2012Published in Journal of mathematical analysis and applications (2012)“… × Y and a continuous function ω : Z 0 → B i l ( E 1 × E 2 , E 3 ) such that T ( f , g ) ( z ) = ω ( z ) ( f ( π X ( h ( z ) ) ) , g ( π Y ( h ( z ) ) ) ) for all z ∈ Z 0 and every pair…”
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On the density of CV0(X)⊗A in CV0(X,A)
ISSN: 0022-247XPublished: Elsevier Inc 15.02.2024Published in Journal of mathematical analysis and applications (15.02.2024)“…,A) be the algebra of all weighted vector-valued continuous functions which vanish at infinity with the topology given by the uniform seminorms induced by V…”
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Bi-contractive projections on spaces of vector-valued continuous functions Fernanda Botelho
ISSN: 0001-6969, 2064-8316Published: Cham Springer International Publishing 01.06.2018Published in Acta scientiarum mathematicarum (Szeged) (01.06.2018)“…This paper describes bi-contractive projections on spaces of vector-valued continuous functions on a compact metric space…”
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Local Uniform Strong Proximinality of the Space of Continuous Vector-Valued Functions
ISSN: 0163-0563, 1532-2467Published: Abingdon Taylor & Francis 03.08.2017Published in Numerical functional analysis and optimization (03.08.2017)“…Let X be a Banach space, S be a compact Hausdorff space and Y be a U-proximinal subspace of X. We prove that C(S,Y…”
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Uniformly summing sets of operators on spaces of vector–valued continuous functions
ISSN: 0003-889X, 1420-8938Published: 01.08.2006Published in Archiv der Mathematik (01.08.2006)Get full text
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Dominated and absolutely summing operators on the space Crc(X,E) of vector-valued continuous functions: Dominated and absolutely summing operators
ISSN: 2662-2009, 2538-225XPublished: Cham Springer International Publishing 01.01.2025Published in Advances in operator theory (01.01.2025)“…Let X be a completely regular Hausdorff space and E and F be Banach spaces. Let C rc ( X , E ) denote the Banach space of all continuous functions f…”
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18
Operators on Spaces of Bounded Vector-Valued Continuous Functions with Strict Topologies
ISSN: 2314-8896, 2314-8888Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2015Published in Journal of function spaces (01.01.2015)“…Let X be a completely regular Hausdorff space, and let (E,‖·‖E) and (F,‖·‖F) be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded, continuous functions defined on X, equipped with the strict topologies…”
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Erratum to: Surjective isometries on spaces of vector valued continuous and Lipschitz functions
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.09.2016Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.09.2016)Get full text
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Weak Sequential Convergence and Weak Compactness in Spaces of Vector-Valued Continuous Functions
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 01.10.1995Published in Journal of mathematical analysis and applications (01.10.1995)“…(X, E) (Cb(X, E)) the space of all E-valued (all E-valued bounded) continuous functions on X, and β…”
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