#### Vol. 5, No. 3, 2012

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Bochner $(p,Y)$-operator frames

Vol. 5 (2012), No. 3, 283–293
##### Abstract

Using the concepts of Bochner measurability and Bochner space, we introduce a continuous version of $\left(p,Y\right)$-operator frames for a Banach space. We also define independent Bochner $\left(p,Y\right)$-operator frames for a Banach space and discuss some properties of Bochner $\left(p,Y\right)$-operator frames.

##### Keywords
Bochner $(p,Y)$-operator frame, Bochner measurability, Bochner space, Radon–Nikodym property
##### Mathematical Subject Classification 2010
Primary: 42C15, 46C05