Yazar "Başar F." seçeneğine göre listele

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    THE GENERALISED DOUBLE HAHN SEQUENCE SPACE Hd?
    (Comenius University in Bratislava, 2024) Yeşilkayagil Savaşci M.; Başar F.
    Suppose that ? ? {bp, r}. In this study, we introduce the generalised double Hahn sequence space H?d as an extension of generalised Hahn sequence space hd defined by Goes [J. Math. Anal. Appl. 39 (1972), 477–494]. We give some topological properties of this space. Then, we characterize the classes(H?d:W) of four dimensional infinite matrices, where W ?{C?, Mu, Lu, H?d}.Finally, we determine the ?-dual of the space H?dand ?(bp)- and ?-duals of the space Hrd. © 2024, Comenius University in Bratislava. All rights reserved.
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    On the fine spectra of the difference operator a over the sequence space ?p, (l?p??)
    (Walter de Gruyter GmbH, 2006) Akhmedov A.M.; Başar F.
    In the present paper, the norm of the bounded linear operator A acting on the sequence space ?p has been found and the fine spectrum with respect to Goldberg's classification of the difference operator ? over the sequence space ?p has been determined, where 1 ? p < ?. © 2006 Warsaw University. All rights reserved.
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    Some new sequence spaces which include the spaces lp and l?
    (Walter de Gruyter GmbH, 2005) Aydin C.; Başar F.
    In the present paper, we introduce the sequence space ar p of non-absolute type and prove that the spaces ar p and lp are linearly isomorphic for 0 < p ? ?. We also show that ar p, which includes the space lp, is a p-normed space and a BK space in the cases of 0 < p < 1 and 1 ? p ? ?, respectively. Furthermore, we give some inclusion relations and determine the ?-, ?- and ?-duals of the space ar p and construct its basis. We devote the last section of the paper to the characterization of the matrix mappings from the space ar p to some of the known sequence spaces and to some new sequence spaces. © 2005 Warsaw University. All rights reserved.
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    Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties
    (CRC Press, 2020) Başar F.; Dutta H.
    The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars Investigates different types of summable spaces and computes their duals Characterizes several matrix classes transforming one summable space into other Discusses several geometric properties of summable spaces Examines several possible generalizations of Orlicz sequence spaces. © 2020 by Taylor & Francis Group, LLC.