On operators in Bochner spaces

Authors

  • Nina A. Yerzakova Department of Mathematics, Khabarovsk Technical University, R-680035 Khabarovsk, Russian Federation Author

Keywords:

Hilbert space, regular space, Lebesgue space, Bochner space, Sobolev space, embedding operator, measure of noncompactness

Subjects:

47H09, 46E35, 47B07, 47B38

Abstract

Estimates for the measure of noncompactness of bounded subsets of spaces of (Bochner-) integrable functions are obtained, a new class of condensing operators is discussed, and the solvability of a certain operator equation in a Hilbert space is proved.

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Published

1997-10-15