Abstract
Some new classes of algebras in which each Fredholm operator is invertible are described.
Mathematics Subject Classification (2000). Primary 47A53, Secondary 45E10.
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References
A. Antonevich, Linear Functional Equations. Operator Approach, OT. 83 Birkhäuser Verlag, 1996.
A. Böttcher, I. Gohberg, Yu. Karlovich, N. Krupnik, S. Roch, B. Silbermann, I. Sptkovsky, Banach algebras generated by idempotents and applications, Operator Theory., V. 90(1996), 19–54.
L.A. Coburn and A. Lebov, Algebraic Theory of Fredholm Operators, J. Math. Mech., 1996, 15, 577–584.
I. Gohberg and M.G. Krein, The basic propositions on defect numbers, root numbers and indices of linear operators, Uspehi Mat. Nauk 12, no. 2(74) (1957), 43–118 (Russian). English transl. Amer. Math, Soc. Transl. (2)13 (1960), 185–264.
I. Gohberg and N. Krupnik, Extension theorems for Fredholm and invertibility symbols, IEOT 16 (1993), 515–529.
I. Gohberg and N. Krupnik, One-Dimensional Linear Singular Integral Equation, Vol. I–II, Birkhäuser Verlag, Basel – Boston, 1992.
N. Krupnik, Banach Algebras with Symbols and Singular Integral Operators, Birkhäuser Verlag Basel – Boston, 1987.
N. Krupnik and I. Feldman, On the invertibility of certain Fredholm operators, Izv. Akad. Nauk MSSR, ser. fiz. i mat. nauk 2, (1982), 8–14. (Russian)
N. Krupnik, A. Markus, I. Feldman, Operator algebras in which all Fredholm operators are invertible, Lecture Notes in Mathematics, Linear and Complex Analysis, 1533 (1994), 124–125.
M. Kozhokar-Gonchar, The spectrum of Cesà ro operators, Mat. Issled. 7, no. 4(26) (1972), 94–103. (Russian)
A. Markus and I. Feldman, On the algebras generated by operators with one-side inverses, Research of Dif. Equat., Shtiintsa, Kishinev, (1983) 42–46. (Russian)
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Feldman, I., Krupnik, N. (2012). Invertibility of Certain Fredholm Operators. In: Dym, H., Kaashoek, M., Lancaster, P., Langer, H., Lerer, L. (eds) A Panorama of Modern Operator Theory and Related Topics. Operator Theory: Advances and Applications(), vol 218. Springer, Basel. https://doi.org/10.1007/978-3-0348-0221-5_14
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DOI: https://doi.org/10.1007/978-3-0348-0221-5_14
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