G-vector-valued Sequence Space Frames

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.793

E. Osgooei

引用次数: 0

Abstract

G-vector-valued sequence space frames and g-Banach frames for Banach spaces are introduced and studied in this paper. Also, the concepts of duality mapping and β-dual of a BK-space are used to define frame mapping and synthesis operator of these frames, respectively. Finally, some results regarding the existence of g-vector-valued sequence space frames and g-Banach frames are obtained. In particular, it is proved that if X is a separable Banach space and Y is a Banach space with a Schauder basis, then there exist a Y -valued sequence space Yv and a g-Banach frame for X with respect to Y and Yv.

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g向量值序列空间帧

本文介绍并研究了g向量值序列空间的帧和g-Banach空间的帧。同时，利用bk空间的对偶映射和β-对偶概念分别定义了帧映射和这些帧的合成算子。最后，得到了关于g-向量值序列空间框架和g-Banach框架存在性的一些结果。特别地，证明了如果X是可分离的Banach空间，Y是具有Schauder基的Banach空间，则存在一个Y值序列空间Yv和X相对于Y和Yv的g-Banach坐标系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.