Open Access∗-K-Operator Frame for Hom∗A(X)
Author(s) -
Mohamed Rossafi,
Roumaissae El Jazzar,
Ali Kacha
Publication year - 2021
Publication title -
european journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2733-3957
DOI - 10.28924/ada/ma.2.4
Subject(s) - operator (biology) , frame (networking) , quasinormal operator , mathematics , multiplication operator , semi elliptic operator , shift operator , generalization , tensor product , algebra over a field , finite rank operator , compact operator , displacement operator , pure mathematics , hilbert space , discrete mathematics , computer science , mathematical analysis , differential operator , chemistry , telecommunications , biochemistry , repressor , transcription factor , banach space , extension (predicate logic) , gene , programming language
In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator. We also give some properties and we study the tensor product of ∗-K-operator frame for Hilbert pro-C ∗ -modules.