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Fredholm composition operators. (English) Zbl 0469.47023


MSC:

47B38 Linear operators on function spaces (general)
47A53 (Semi-) Fredholm operators; index theories
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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References:

[1] M. B. Abrahamse and Thomas L. Kriete, The spectral multiplicity of a multiplication operator, Indiana Univ. Math. J. 22 (1972/73), 845 – 857. · Zbl 0259.47031 · doi:10.1512/iumj.1973.22.22072
[2] Joseph A. Cima, James Thomson, and Warren Wogen, On some properties of composition operators, Indiana Univ. Math. J. 24 (1974/75), 215 – 220. · Zbl 0276.47038 · doi:10.1512/iumj.1974.24.24018
[3] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. · Zbl 0040.16802
[4] K. R. Parthasarathy, Probability measures on metric spaces, Probability and Mathematical Statistics, No. 3, Academic Press, Inc., New York-London, 1967. · Zbl 0153.19101
[5] Raj Kishor Singh, Compact and quasinormal composition operators, Proc. Amer. Math. Soc. 45 (1974), 80 – 82. · Zbl 0289.47016
[6] Raj Kishor Singh, Normal and Hermitian composition operators, Proc. Amer. Math. Soc. 47 (1975), 348 – 350. · Zbl 0295.47026
[7] Raj Kishor Singh, Invertible composition operators on \?²(\?), Proc. Amer. Math. Soc. 56 (1976), 127 – 129. · Zbl 0346.47030
[8] R. K. Singh, Composition operators induced by rational functions, Proc. Amer. Math. Soc. 59 (1976), no. 2, 329 – 333. · Zbl 0315.47023
[9] R. K. Singh and Ashok Kumar, Multiplication operators and composition operators with closed ranges, Bull. Austral. Math. Soc. 16 (1977), no. 2, 247 – 252. · Zbl 0343.47029 · doi:10.1017/S0004972700023261
[10] R. K. Singh and Ashok Kumar, Characterizations of invertible, unitary, and normal composition operators, Bull. Austral. Math. Soc. 19 (1978), no. 1, 81 – 95. · Zbl 0385.47017 · doi:10.1017/S0004972700008479
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