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Measure of noncompactness and spectral theory. (English) Zbl 0574.47038

Using the theory of measure of noncompactness the author has extended the results of J. Leray on the spectral theory to the case of noncompact operators in Fréchet spaces. Applying these results the author has estimated the radius of the essential spectrum of operators and has obtained some results in operator theory.

MSC:

47H10 Fixed-point theorems
47A10 Spectrum, resolvent
47A53 (Semi-) Fredholm operators; index theories
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