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 36 in Operator Theory, 2026, pp 1003-1008 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 $$A+B$$ 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 $$A, B, C$$ are three unbounded linear operators with A being a Fredholm operator, then their algebraic sum A + B + C $$A+B+C$$ is also a Fredholm operator.

Date: 2026
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DOI: 10.1007/978-3-032-16356-1_49

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