A brief on some equalities for continuous g-frames in Hilbert spaces

Document Type : Research Articles

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‎Faculty of Technology and Mining, ‎Yasouj University

Abstract

In this work‎, ‎we generalize the equalities from ‎ g‎-frame and g‎-Bessel sequences to continuous g‎-frame and continuous g‎-Bessel sequences in Hilbert spaces‎. ‎This generalization enables us to obtain the relationship between continuous g-frames and their alternate dual on a measure space‎.

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