Haran Chandra Ghosh1, Surya Kumar Yadav2, Abhishek Kumar3, & Umesh Kumar Srivastava4
1. Research Scholar, University Deptt. Of Mathematics, B.R.A. Bihar University, Muzaffarpur – 842001 , Bihar, India.
2. Department of Mathematics of P.G. Campus, Birat Nagar, Nepal, Tribhuvan University, Nepal.
3. Department of Mathematics, P.R.R.D. College, Bairgainia, Sitamarhi, B.R.A. Bihar University, Muzaffarpur – 842001, Bihar, India.
4. R.S.S. College Chochahan, Muzaffarpur – 844111, B.R.A. Bihar University, Muzaffarpur – 842001, Bihar, India.
Abstract: This paper presents the study of the Algebra of Operators on Algebraic Tensor Products. Here, we consider R additive group of reals with discrete topology constructing C* – algebras canonically associated with R – along with A and B are C* – algebras, it is proved in this paper that all C* – algebras have several distinct C* – norms on Algebraic tensor product A ʘ B are mutually distinct.
Keywords: Algebraic Tensor Products, C*-Algebras, W*-Algebras, C*-Tensor Norms, Normal and Binormal Norms, Hilbert Space.
Pages: 45 – 50 | Full PDF Paper