Study of Constructing a Compact Operator from Finite Rank Operators-Reference-Cited by-同舟云学术

Study of Constructing a Compact Operator from Finite Rank Operators

Published:2022-08-05 Issue: Volume: Page:494-498
ISSN:2395-602X
Container-title:International Journal of Scientific Research in Science and Technology
language:en
Short-container-title:IJSRST

Author:

Chandra Deo Pathak ¹,Surendra Ray ²,Dr. Rajeshwar Prasad Yadav ³

Affiliation:

1. Research Scholar, Department of Mathematics, B. R. A. Bihar University, Muzaffarpur andLecturer of Mathematics, Department of Mathematics, R. R. M. Campus, Janakpurdham, Nepal.

2. Research Scholar, Department of Mathematics, B. R. A. Bihar University, Muzaffarpur andLecturer of Mathematics, Department of Mathematics, R. R. M. Campus, Janakpurdham, Nepal

3. Professor of Mathematics & Principal, R. L. S. Y. College, Betiah, B. R. A. Bihar University, Muzaffarpur, India

Abstract

In this present paper, we studied about constructing a compact operator from finite rank operators. The purpose of this paper is to first review some concepts from Functional Analysis and Operator Algebra, then to apply these concepts to an in-depth introduction to Compact Operators and the Spectra of Compact Operators, leading to The Fredholm Alternative. [1-2].

Publisher

Technoscience Academy

Subject

General Medicine

Reference13 articles.

1. Bryon Rynne and M.A. Youngson, Linear Functional Analysis (2nd Edition), Springer-Verlag London Limited (2008).

2. B´ela Bollob´as, Linear Analysis (2nd Edition), Cambridge University Press (1999).

3. Richard Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (4th Edition), Pearson Education Inc. (2004).

4. David J. Griffiths, Introduction to Quantum Mechanics (2nd Edition), Pearson Education Inc. (2005).

5. H. Apiola: Duality between spaces of p-summing operators and characterization of nuclearity. Math. Ann. 219, (1974), 53-64.