Continuous frames in n-Hilbert spaces and their tensor products

Universitatea din Craiova. Analele. Seria: Matematica, Informatica

article

Prasenjit Ghosh¹  Tapas Kumar Samanta² 

[1] University Calcutta;Department of Mathematics, Uluberia College

关键词: Frame;    Dual frame;    Continuous frame;    tensor product;    n-Hilbertspace;   

DOI  :  10.52846/ami.v50i1.1637

学科分类：社会科学、人文和艺术（综合）

来源: Universitatea din Craiova / University of Craiova

【 摘 要 】

We introduce the notion of continuous frame in n-Hilbert space which is a generalization of discrete frame in n-Hilbert space. The tensor product of Hilbert spaces is a very important topic in mathematics. Here we also introduce the concept of continuous frame for the tensor products of n-Hilbert spaces. Further, we study dual continuous frame and continuous Bessel multiplier in n-Hilbert spaces and their tensor products.

【 授权许可】

Unknown