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THE WOVEN FRAME OF MULTIPLIERS IN HILBERT C* -MODULES

Mona Naroei Irani|Akbar Nazari
λŒ€ν•œμˆ˜ν•™νšŒ (The Korean Mathematical Society)|2021.04|λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘ (Communications of the KMS)|제36ꢌ 제2호|pp. 257-266|DOI 10.4134/CKMS.c200179

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Hilbert C*-moduleswoven frame of multipliersthe frame of multipliers
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초둝

In this paper, by using the sequence of adjointable operators from C*-algebra 𝓐 into Hilbert 𝓐-module E, the woven frames of multipliers in Hilbert C*-modules are introduced. Meanwhile, we study the effect of operators on these frames and, also we construct the new woven frame of multipliers in Hilbert 𝓐-module 𝓐. Finally, compositions of woven frames of multipliers in Hilbert C*-modules are studied.

Abstract

In this paper, by using the sequence of adjointable operators from C*-algebra 𝓐 into Hilbert 𝓐-module E, the woven frames of multipliers in Hilbert C*-modules are introduced. Meanwhile, we study the effect of operators on these frames and, also we construct the new woven frame of multipliers in Hilbert 𝓐-module 𝓐. Finally, compositions of woven frames of multipliers in Hilbert C*-modules are studied.

μ°Έκ³ λ¬Έν—Œ (10)

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