Generalized Frames on Super Hilbert Spaces
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3
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In this paper we study the relationship between g-frames for super Hilbert space $\mathcal{H}\oplus\mathcal{K}$ and g-frames for $\mathcal{H}$ and $\mathcal{K}$ and frames for $\mathcal{H}$, $\mathcal{K}$ and $\mathcal{H}\oplus\mathcal{K}$. Also the concepts of disjoint g-frames and strong complementary g-frame are introduced and studied.
Classification :
Primary: 41A58; Secondary: 42C15.
@article{BMMS_2012_35_3_a18,
author = {A. Abdollahi and E. Rahimi},
title = {Generalized {Frames} on {Super} {Hilbert} {Spaces}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a18/}
}
A. Abdollahi; E. Rahimi. Generalized Frames on Super Hilbert Spaces. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a18/