References
Atkinson, F. V.: The normal solubility of linear equations in normal spaces. Math. Sbornik N. S.28, (70) (1951).
Cordes, H. O.: On a generalized Fredholm theory, to appear.
—— Über eine nicht algebraische Charakterisierung von ℊ-Fredholm-Operatoren. Math. Ann.163, 212–224 (1966).
——, and J. P. Labrousse: The invariance of the index in the metric space of closed operators. J. Math. and Mech.12, 693–720 (1963).
Dieudonné, J.: Foundations of Modern Analysis. New York and London: Academic Press 1960.
Dixmier, J.: Applications dans les anneaux d'opérateurs. Compos. Math.10, 1–55 (1952).
—— Les algebres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars 1957.
Halperin, I.: Complemented Modular Lattices. Proc. Symposium in Pure Mathematics, Vol. II. Providence R. I., 1961.
Kaplansky, I.: Rings of Operators. Univ. of Chicago Notes, 1955.
Lang, S.: Algebra. New York: Interscience Publishers 1965.
Murray, F. J., and J. von Neumann: On Rings of Operators. Ann. of Math.37, 116–229 (1936).
Neubauer, G.: Über den Index abgeschlossener Operatoren in Banachräumen. Math. Ann.160, 93–130 (1965).
—— Über den Index abgeschlossener Operatoren in Banachräumen II. Math. Ann.162, 92–119 (1965).
Neumann, J. von: Continuous Geometry. Proc. Nat. Acad. Sci. U.S.A.22, 98–110 (1936).
Riesz, F., and B. Nagy: Functional Analysis. New York: Frederic Ungar Publishing Co. 1955.
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Research done under NSF Grant GP-3460.
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Breuer, M. Fredholm theories in von Neumann algebras. I. Math. Ann. 178, 243–254 (1968). https://doi.org/10.1007/BF01350663
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DOI: https://doi.org/10.1007/BF01350663