Perturbations of Unbounded Fredholm Linear Operators in Banach Spaces

Toka Diagana ()
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Toka Diagana: Howard University, College of Arts and Sciences, Department of Mathematics

Chapter 34 in Operator Theory, 2015, pp 875-880 from Springer

Abstract: Abstract In Gohberg et al. (Classes of linear operators, Theorem 4.2, Chapter XVII. Birkhäuser, Basel, 2003), some sufficient conditions are given so that if A is an unbounded Fredholm linear operator and if B is another (possibly unbounded) linear operator, then their algebraic sum A + B is a Fredholm operator. The main objective here consists of extending the previous result to the case of three unbounded linear operators. Namely, some sufficient conditions are given so that if A, B, C are three unbounded linear operators with A being a Fredholm operator, then their algebraic sum A + B + C is also a Fredholm operator.

Keywords: Banach Space; Integral Equation; Linear Operator; Differential Operator; Operator Theory (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_49

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DOI: 10.1007/978-3-0348-0667-1_49

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