Title : ( Atomic Systems in 2-inner Product Spaces )
Authors: Bahram Dastourian , Mohammad Janfada ,
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Abstract
In this paper, the concept of a family of local atoms in a 2-inner product space is introduced and then this concept is generalized to an atomic system for an operator. Next a characterization of atomic systems is proved. This characterization lead us to obtain a new frame which is a generalization of frames in 2-inner product spaces.
Keywords
, 2-inner product space, 2-normed space, Family of local atoms, Atomic system, Frame.
@article{paperid:1065481,
author = {Dastourian, Bahram and Janfada, Mohammad},
title = {Atomic Systems in 2-inner Product Spaces},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
year = {2018},
volume = {13},
number = {1},
month = {January},
issn = {1735-4463},
pages = {103--110},
numpages = {7},
keywords = {2-inner product space; 2-normed space; Family of local atoms;
Atomic system; Frame.},
}
%0 Journal Article
%T Atomic Systems in 2-inner Product Spaces
%A Dastourian, Bahram
%A Janfada, Mohammad
%J Iranian Journal of Mathematical Sciences and Informatics
%@ 1735-4463
%D 2018
