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Bochner
$(p,Y)$-operator frames
Mohammad Hasan Faroughi, Reza Ahmadi and Morteza Rahmani
Vol. 5 (2012), No. 3, 283–293
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Abstract |
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Using the concepts of Bochner measurability and Bochner space, we introduce a continuous version of -operator frames for a Banach space. We also define independent Bochner -operator frames for a Banach space and discuss some properties of Bochner -operator frames. |
Keywords
Bochner $(p,Y)$-operator frame, Bochner measurability,
Bochner space, Radon–Nikodym property
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Mathematical Subject Classification 2010
Primary: 42C15, 46C05
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Milestones
Received: 16 April 2011
Accepted: 21 January 2012
Published: 14 April 2013
Communicated by David R. Larson
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Authors |
| Mohammad Hasan Faroughi | |
| Department of Pure Mathematics Faculty of Mathematical Science University of Tabriz 29 Bahman Street Tabriz 5166614766 Iran |
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| Reza Ahmadi | |
| Department of Pure Mathematics Faculty of Mathematical Science University of Tabriz 29 Bahman Street Tabriz 5166614766 Iran |
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| Morteza Rahmani | |
| Department of Pure Mathematics Faculty of Mathematical Science University of Tabriz 29 Bahman Street Tabriz 5166614766 Iran |
Department of Mathematics Ilam University P.O. Box 69315516 Ilam Iran |
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