Combined Representation of Atkinsion and Fredholm Operators in terms of Index
Author Affiliations
- 1Department of Mathematics, Mahendra Morang Adarsh Multiple Campus (Tribhuvan University), Biratnagar, NEPAL
- 2Department of Mathematics, B. N. College, Patna University, Patna, INDIA
Res. J. Mathematical & Statistical Sci., Volume 3, Issue (3), Pages 1-3, March,12 (2015)
Abstract
This paper shows that a unique representation between Atkinsion and Fredholm operators with the help of non-negative index, zero and arbitrary index in terms of index except for a rational factor whereas every Atkinsion operator with non-positive index can be represented as a finite dimensional perturbation of a left invertible Atkinsion operator.
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