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November 2019 Approximate duals and morphisms of Hilbert C*-modules
Morteza Mirzaee Azandaryani
Ann. Funct. Anal. 10(4): 525-536 (November 2019). DOI: 10.1215/20088752-2019-0011

Abstract

In the following we show that, under some conditions, φ-morphisms preserve duals and approximate duals of frames in Hilbert C*-modules. Moreover, using φ-morphisms and some concepts related to frame theory such as modular Riesz bases, canonical duals, tensor products, and Bessel multipliers, we construct new approximate duals, considering in particular the approximate duals constructed by compact operators and morphisms.

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Morteza Mirzaee Azandaryani. "Approximate duals and morphisms of Hilbert C*-modules." Ann. Funct. Anal. 10 (4) 525 - 536, November 2019. https://doi.org/10.1215/20088752-2019-0011

Information

Received: 20 December 2018; Accepted: 6 February 2019; Published: November 2019
First available in Project Euclid: 29 October 2019

zbMATH: 07126070
MathSciNet: MR4026366
Digital Object Identifier: 10.1215/20088752-2019-0011

Subjects:
Primary: 46L08
Secondary: 42C15, 46H25, 47A05

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.10 • No. 4 • November 2019
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