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Lay, D. C.

Spectral analysis using ascent, descent, nullity and defect. (English) Zbl 0177.17102

Math. Ann. 184, 197-214 (1970).
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Keywords:

functional analysis
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\textit{D. C. Lay}, Math. Ann. 184, 197--214 (1970; Zbl 0177.17102)
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References:

[1] Caradus, S. R.: Contributions to the theory of operators with meromorphic resolvents. Doctoral dissertation, University of California, Los Angeles, January, 1965.
[2] ?? Operators of Riesz type. Pacific J. Math.18, 61-71 (1966). · Zbl 0144.38601
[3] ?? Operators with finite ascent and descent. Pacific J. Math.18, 437-449 (1966). · Zbl 0166.12202
[4] ?? On meromorphic operators, I. Canad. J. Math.19, 723-736 (1967). · Zbl 0149.35301
[5] Derr, J., Taylor, A. E.: Operators of meromorphic type with multiple poles of the resolvent. Pacific J. Math.12, 85-111 (1962). · Zbl 0133.37506
[6] Gohberg, I. C., Krein, M. G.: The basic propositions on defect numbers, root numbers, and indices of linear operators. Amer. Math. Soc. Translations, Series 2,13, 185-264 (1960). (The original paper, in Russian, appeared in Uspekhi Math. Nauk (N. S.)12, no. 2 (74), 43-118 (1957).
[7] Goldberg, S.: Unbounded linear operators: theory and applications. New York: McGraw-Hill 1966. · Zbl 0148.12501
[8] Kaashoek, M. A.: Ascent, descent, nullity and defect, a note on a paper by A. E. Taylor. Math. Ann.172, 105-115 (1967). · Zbl 0152.33803
[9] ?? On the Riesz set of a linear operator. Proc. Acad. Sci. Amsterdam A71, 46-53 (1968). · Zbl 0167.13302
[10] Kaashoek, M. A., Lay, D. C.: On operators whose Fredholm set is the complex plane. Pacific J. Math.21, 275-278 (1967). · Zbl 0145.39201
[11] Kato, T.: Perturbation theory for nullity, deficiency, and other quantities of linear operators. J. d’Analyse Math.11, 261-322 (1958). · Zbl 0090.09003
[12] Lay, D. C.: Studies in spectral theory using ascent, descent, nullity and defect. Doctoral dissertation, University of California, Los Angeles, January, 1966.
[13] Ruston, A. F.: Operators with a Fredholm theory. J. London Math. Soc.29, 318-326 (1954). · Zbl 0055.10902
[14] Schechter, M.: On the essential spectrum of an arbitrary operator. J. Math. Anal. Appl.13, 205-215 (1966). · Zbl 0147.12101
[15] Taylor, A. E.: Introduction to functional analysis. New York: Wiley and Sons 1958. · Zbl 0081.10202
[16] ?? Mittag-Leffler expansions and spectral theory. Pacific J. Math.10, 1049-1066 (1960). · Zbl 0097.09902
[17] ?? Theorems on ascent, descent, nullity and defect of linear operators. Math. Ann.163, 18-49 (1966). · Zbl 0138.07602
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