Yazar "Yilmaz Y." seçeneğine göre listele

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    Function bases for Topological vector spaces
    (Juliusz Schauder Center for Nonlinear Studies, 2009) Yilmaz Y.
    Our main interest in this work is to characterize certain operator spaces acting on some important vector-valued function spaces such as (V a)a?A c0 , by introducing a new kind basis notion for general Topological vector spaces. Where A is an infinite set, each Va is a Banach space and (Va) a?A c0 is the linear space of all functions x:A ? ?Va such that, for each ? > 0, the set {a ? A : ?xa? > ?} is finite or empty. This is especially important for the vector-valued sequence spaces (V i)i?N c0 because of its fundamental place in the theory of the operator spaces (see, for example, [12]). © 2009 Juliusz Schauder Center for Nonlinear Studies.
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    A generalization of Hölder and Minkowski inequalities
    (2006) Yilmaz Y.; Kemal Özdemir M.; Solak I.
    In this work, we give a generalization of Holder and Minkowski inequalities to normal sequence algebras with absolutely monotone seminorm. Our main result is Theorem 2.1 and Theorem 2.2 which state these extensions. Taking F = ell;1 and ?·?F = ?·? 1 in both these theorems, we obtain classical versions of these inequalities. Also, using these generalizations we construct the vector-valued sequence space F (X, ?, p) as a paranormed space which is a most general form of the space c0 (X, ?, p) investigated in 6. © 2006 Victoria University. All rights reserved.
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    SOME RESULTS IN THE THEORY OF QUASILINEAR SPACES
    (Bayram Sahin, 2021) Bozkurt H.; Yilmaz Y.
    In this study, we present some new consequences and exercises of homogenized quasilinear spaces. We also research on the some characteristics of the homogenized quasi-linear spaces. Then, we introduce the concept of equivalent norm on a quasilinear space. As in the linear functional analysis, we obtained some results with equivalent norms defined in normed quasilinear spaces. © 2021, Bayram Sahin. All rights reserved.
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    Vector-valued FK-spaces defined by a modulus function
    (Walter de Gruyter GmbH, 2005) Yilmaz Y.; Solak I.
    We introduced and investigated the sequence space ? (Xk, r, f, s) defined by a modulus function f, and constructed its FK-structure under some conditions. Also we exposed some inclusion relations among the variations of the space. © 2005 Warsaw University. All rights reserved.