Integral operator frames for β(H)

Abstract

In this work, we introduce a new concept of integral K-operator frame for the set of all adjointable operators from Hilbert C *-modules H to it self noted End * A (H). We give some propertis relating some construction of integral K-operator frame and operators preserving integral K-operator frame and we establish some new results.

Controlled Integral Frames for Hilbert C*-Modules

“…Gabardo and Han in [11] called these kinds frames or frames associated with measurable spaces. For more details, the reader can refer to [4,[13][14][15][16][20][21][22][23][24][25][26][27][28][29][30][31][32].…”

Controlled ∗ -Operator Frames on Hilbert C ∗ -Modules

“…* -operator frames for End * A (H) has been studied by Rossafi and Kabbaj [6]. For more details, see [7][8][9].…”

Controlled Continuous∗-K-g-Frames for HilbertC∗-Modules

“…The theory of continuous frames has been generalized in Hilbert C * -modules. For more details, see [16][17][18][19][20][21][22].…”