Integral $K$-Operator Frames for $End_{mathcal{A}}^{ast}(mathcal{H})$

Author(s):

Hatim Labrigui * , Samir Kabbaj

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{ast}$-module $mathcal{H}$ to  itself denoted by $End_{mathcal{A}}^{ast}(mathcal{H}) $.  We give some properties relating to some constructions of integral $K$-operator frames and to operators preserving  integral $K$-operator frame and we establish some new results.
Keywords:

$K$-frames , integral $K$-operator frames , $C^{ast}$-algebra , Hilbert $mathcal{A}$-module

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:18 Issue: 3, Summer 2021
Pages:
91 to 107
https://www.magiran.com/p2312211