Bochner $(p,Y)$-operator frames

Mohammad Faroughi; Reza Ahmadi; Morteza Rahmani

doi:10.2140/involve.2012.5.283

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Home > Journals > Involve > Volume 5 > Issue 3 > Article

2012 Bochner $(p,Y)$-operator frames

Mohammad Faroughi, Reza Ahmadi, Morteza Rahmani

Involve 5(3): 283-293 (2012). DOI: 10.2140/involve.2012.5.283

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Abstract

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

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Mohammad Faroughi. Reza Ahmadi. Morteza Rahmani. "Bochner $(p,Y)$-operator frames." Involve 5 (3) 283 - 293, 2012. https://doi.org/10.2140/involve.2012.5.283