The generalized Fredholm elements in a semisimple Banach algebra

Aiena, P.: Fredholm and Local Spectral Theory, with Applications to Multipliers. Dipartimento di Matematica ed Applicazioni, Naples (2004)

Aiena, P.: Fredholm and Local Spectral Theory II with Application to Weyl-type Theorems. Springer, Palermo (2018)

Alaminos, J., Extremera, J., Villena, A.R.: Spectral preservers and approximate spectral preservers on operator algebras. Linear Algebra Appl. 496, 36–70 (2016)

Alexander, J.C.: Compact Banach algebras. Proc. Lond. Math. Soc. 1, 1–18 (1968)

Atkinson, F.V.: The normal solubility of linear equations in normed spaces. Mat. Sb (N.S.) 28(70), 3–14 (1951)

Barnes, B.A.: The Fredholm elements of a ring. Can. J. Math. 21, 84–95 (1969)

Barnes, B.A., Murphy, G.J., Smyth, M.R.F., West, T.T.: Riesz and Fredholm Theory in Banach Algebras. Research Notes in Mathematics, Pitman Advanced Publishing, London (1982)

Bourhim, A., Burgos, M.: Linear maps preserving regularity in C*-algebras. Ill. J. Math. 53, 899–914 (2009)

Conway, J.B.: A Course in Functional Analysis. Springer, Berlin (1990)

Cvetković, M.D., Boasso, E., Živković-Zlatanović, S.Č.: Generalized B-Fredholm Banach algebra elements. Mediterr. J. Math. 13, 3729–3746 (2016)

Grobler, J.J., Raubenheimer, H., Swartz, A.: The index for Fredholm elements in a Banach algebra via a trace. Czechoslov. Math. J. 66(1), 205–211 (2016)

Hadder, Y.: The kh-socle of a commutative semisimple Banach algebra. Math. Bohem. 145(4), 1–13 (2019)

Harte, R.: Fredholm theory relative to a Banach algebra homomorphism. Math. Z. 179(3), 431–436 (1982)

Harte, R.E.: Invertibility and Singularity for Bounded Linear Operators. Dekker, New York (1988)

Ivković, S.: On various generalizations of semi-A-Fredholm operators. Complex Anal. Oper. Theory 14(3), 1-23 (2020)

Kong, Y., Jiang, L., Ren, Y.: The Weyl’s theorem and its perturbations in semisimple Banach algebra. Acta Math. Sin. Engl. Ser. 37(5), 675–688 (2021)

Männle, D., Schmoeger, C.: Generalized Fredholm theory in semisimple algebras. Rend. Mat. Appl., VII. Ser. 19(4), 583–613 (1999)

Mohammed, B.: B-Fredholm elements in rings and algebras. Publ. Math. 92(1-2), 171–181 (2018)

Rostamani, M., Hejazian, S.: Maps preserving Fredholm or semi-Fredholm elements relative to some ideal. Cubo 17(1), 29–40 (2015)

Rakocevic, V.: A note on regular elements in Calkin algebras. Collect. Math. 43(1), 37–42 (2007)

Rickart, E.: General Theory of Banach Algebras. Robert E. Krieger Publishing, New York (1974)

Schmoeger, C.: On a class of generalized Fredholm operators, I. Demonstr. Math. 30(4), 223–229 (1997)

Schmoeger, C.: On a class of generalized Fredholm operators, II. Demonstr. Math. 31(4), 705–722 (1998)

Schmoeger, C.: On a class of generalized Fredholm operators, III. Demonstr. Math. 31(4), 723–733 (1998)

Schmoeger, C.: On a class of generalized Fredholm operators, VII. Demonstr. Math. 30(1), 123–130 (2000)

Schmoeger, C.: On operators of Saphar type. Port. Math. 51(4), 617–628 (1994)

Smyth, M.R.F.: Fredholm theory in Banach algebras. Banach Center Publications. 8, 403-414 (1982)

Yang, K.: The generalized Fredholm operators. Trans. Am. Math. Soc. 216, 313–326 (1976)

Xin, Q., Jiang, L.: Property $$\omega $$and topological uniform descent. Front. Math. China 9(6), 1411–1426 (2014)

Kong, Y., Ren, Y., Jiang, L.: Spectral theory of B-Weyl elements and the generalized Weyl's theorem in primitive C*-algebra. (2022). https://doi.org/10.3906/mat-2111-24