This article is cited in 7 papers

Remarks on the existence of unconditional bases for weighted countably-Hilbert spaces and their complemented subspaces

V. P. Kondakov

Rostov State University, Faculty of Mechanics and Mathematics

Abstract: We give versions of a criterion for existence of unconditional bases for countably-Hilbert spaces. As applications we obtain theorems on existence of unconditional bases for certain classes of countably-Hilbert function spaces and for their complemented subspaces under additional constraints on the space and the corresponding projections to the complemented subspaces. These classes include generalizations of power series spaces of finite type and Kothe spaces determined by Dragilev-type functions.

UDC: 513.881

Received: 23.02.1998

 English version: Siberian Mathematical Journal, 2001, 42:6, 1082–1092

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