Study on Sparsification: In Theory and Practice | Chapter 7 | Current Topics on Mathematics and Computer Science Vol. 4

 The Kadison-Singer problem has several variations in several disciplines of research, one of which was proven in 2013. We return and investigate the problem in its original formulation, as well as explore its transition to a finding with broad implications, based on the concept of'sparsification,' which has its roots in quantum physics. The goal of this research is to explore how the concept of'sparsification' has spread across diverse sectors and how it has contributed to problem resolution. In addition, we look at the influence and consequences of the resolution in several scientific domains in this work.

Author (S) Details

Srilal Krishnan
Iona College, New Rochelle, USA.

View Book :-  https://stm.bookpi.org/CTMCS-V4/article/view/2282

Some Results for Extended Left Centralizers on the Tensor Product of C∗-algebras | Chapter 8 | Recent Studies in Mathematics and Computer Science Vol. 3

 The aim of this paper is to study the characteristics of extended left centralizers on the tensor

product of C∗-algebras. For a tensor norm α; a relationship is derived between extended left
(c; k2)-centralizers on C∗-algebras A; B and their tensor product A ⊗α B. Suitable examples are
provided to validate the results. Some characterization of commutativity of Lie ideals of the tensor
product are given in terms of extended left (c; k2)-centralizers.

Author(s) Details
Dr. Nilakshi Goswami
Department of Mathematics, Gauhati University, Assam, India.

Anamika Sarma
Department of Mathematics, Gauhati University, Assam, India.

View Book :- http://bp.bookpi.org/index.php/bpi/catalog/book/233