Some Spectral Properties of the Banach Algebra A ?d B with the Direct-Sum Product
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Most Trusted Research Journal Since Year 2012

ISSN: 2319-7064



Research Paper | Mathematics | India | Volume 8 Issue 8, August 2019

Some Spectral Properties of the Banach Algebra A ?d B with the Direct-Sum Product

H. V. Dedania, H. J. Kanani

Let A be a commutative Banach algebra and B be a closed subalgebra of A. Then A B is a commutative algebra with co-ordinatewise linear operations and the direct-sum product: (a; b) (c; d) = (ac + ad + bc; bd) (a; c 2 A; b; d 2 B). In fact, it is a Banach algebra with a suitable norm; it is denoted by A d B. Here, we study some important spectral properties of this algebra.

Keywords: Banach algebras, Direct-sum product, Spectrum, Spectral radius, Spectral extension property, Gel'fand space, and Gel?fand transform

Edition: Volume 8 Issue 8, August 2019

Pages: 318 - 323

Share this Article

How to Cite this Article?

H. V. Dedania, H. J. Kanani, "Some Spectral Properties of the Banach Algebra A ?d B with the Direct-Sum Product", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART2020185, Volume 8 Issue 8, August 2019, 318 - 323

118 PDF Views | 86 PDF Downloads

Download Article PDF



Similar Articles with Keyword 'Banach algebras'

Research Paper, Mathematics, Morocco, Volume 4 Issue 1, January 2015

Pages: 1159 - 1161

On Automatic Continuity in the Jordan-Banach Algebras

Youssef TIDLI

Share this Article

Research Paper, Mathematics, India, Volume 8 Issue 8, August 2019

Pages: 318 - 323

Some Spectral Properties of the Banach Algebra A ?d B with the Direct-Sum Product

H. V. Dedania, H. J. Kanani

Share this Article

Similar Articles with Keyword 'Spectrum'

Research Paper, Mathematics, Zimbabwe, Volume 3 Issue 5, May 2014

Pages: 1919 - 1923

Variational Methods in a Thin Shell Problem

Mangwiro Magodora, TW Mapuwei, J Masanganise, K Basira, CJ Chagwiza

Share this Article

Research Paper, Mathematics, India, Volume 5 Issue 12, December 2016

Pages: 249 - 254

Nullity and Energy Bounds of Central Graph of Smith Graphs

Usha Sharma, Renu Naresh

Share this Article

Research Paper, Mathematics, India, Volume 5 Issue 3, March 2016

Pages: 1622 - 1624

On e-Chromatic Number of Adjacency Matrix of a Dutchwindmill Graph D3m and Central Graphs

S. Uma Maheswari, Dr. K. Indirani

Share this Article

Research Paper, Mathematics, India, Volume 8 Issue 8, August 2019

Pages: 318 - 323

Some Spectral Properties of the Banach Algebra A ?d B with the Direct-Sum Product

H. V. Dedania, H. J. Kanani

Share this Article
Top