Title of article
A-B-imprimitivity bimodule frames
Author/Authors
Alijani Zamania, Azadeh Department of Mathematics - Faculty of Sciences Vali-e-Asr University of Rafsanjan - Rafsanjan, Islamic Republic of Iran
Pages
9
From page
33
To page
41
Abstract
Frames in Hilbert bimodules are a special case of frames in
HilbertC-modules. The paper considersA-frames and B-frames
and their relationship in a Hilbert A-B-imprimitivity bimodule.
Also, it is given that every frame in Hilbert spaces or Hilbert
C-modules is a semi-tight frame. A relation betweenA-frames
and K(HB)-frames is obtained in a Hilbert A-B-imprimitivity
bimodule. Moreover, the last part of the paper investigates dual
of an A-frame and a B-frame and presents a common property
for all duals of a frame in a Hilbert A-B-imprimitivity bimodule.
Keywords
Semi-tight frame , Hilbert A-B-imprimitivity bimodule , Frame
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2450834
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