FRAMES OF SUBSPACES FOR BANACH SPACES

被引：11

作者：

Jain, P. K. ^{[1
]}

Kaushik, S. K. ^{[1
]}

Kumar, Varinder

机构：

[1] Univ Delhi, Dept Math, Kirorimal Coll, Delhi 110007, India

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2010年 / 8卷 / 02期

关键词：

Frame; Banach frame; frame of subspaces; ATOMIC DECOMPOSITIONS; FUSION FRAMES; VECTORS;

D O I：

10.1142/S0219691310003481

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Frames of subspaces for Banach spaces have been introduced and studied. Examples and counter-examples to distinguish various types of frames of subspaces have been given. It has been proved that if a Banach space has a Banach frame, then it also has a frame of subspaces. Also, a necessary and sufficient condition for a sequence of projections, associated with a frame of subspaces, to be unique has been given. Finally, we consider complete frame of subspaces and prove that every weakly compactly generated Banach space has a complete frame of subspaces.

引用

页码：243 / 252

页数：10

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