Integral K-operator frames for B(H)

Abstract

In this paper, we will introduce a new notion, that of $K$-Integral operator frames in the set of all bounded linear operators noted $\mathcal{B}(H)$, where $H$ is a separable Hilbert space. Also, we prove some results of integral $K$-operator frame. Lastly we will establish some new properties for the perturbation and stability for an integral $K$-operator frames for $\mathcal{B}(H)$.

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].…”