Mathematics

Hilbert generalizations $b$-Bessel systems

M. I. Ismailov

Baku State University, Chair of Theory of Function and Functional Analysis

Abstract: The notion of $b$-Bessel systems that generalizes the known classic notion of Bessel systems is introduced, the criteria of Bessel property of the systems are established. Some properties of the space of coefficients corresponding to the $b$-basis generalizing the classic notion of Schauder basis are studied.

Key words: $b$-basis, $b$-completeness, $b$-minimality, $b$-Bessel systems.

UDC: 517.946

DOI: 10.18500/1816-9791-2011-11-3-2-3-10

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