Titlebook: Introduction to the Theory of Bases; Jürg T. Marti Book 1969 Springer-Verlag Berlin Heidelberg 1969 Banach space.Basis (Math.).Finite.Topo

使閉塞

0081-3877 aces has grown enormously. Much of this literature has for its origin a question raised in Banach‘s book, the question whether every sepa- rable Banach space possesses a basis or not. The notion of a basis employed here is a generalization of that of a Hamel basis for a finite dimensional vector spa

死亡率

Linear Transformations,ded for the development of the theory of bases. We begin by defining various abstract spaces, and we list their most important properties. Then we investigate linear transformations of one space into another, continue with some facts on conjugate spaces, and conclude with results for several spacial spaces.

–scent

Book 1969rown enormously. Much of this literature has for its origin a question raised in Banach‘s book, the question whether every sepa- rable Banach space possesses a basis or not. The notion of a basis employed here is a generalization of that of a Hamel basis for a finite dimensional vector space. For a

abnegate

TEM

Convergence of Series in Banach Spaces, Dvoretzky-Rogers theorem. The latter states the existence in every infinite dimensional Banach space of an unconditional series which is not absolutely convergent, a fact, which has been conjectured for about twenty years and which has been settled down by . and . in 1950.

確定方向

Bases for Banach Spaces,aphs are devoted to retro-, shrinking, boundedly complete, unconditional, absolutely convergent and uniform bases. Some applications of summability methods on the theory of bases are given in the sixth section and in the last paragraph bases for the special spaces c., l.(l ≤ p < ∞), .[0,1], ..[0,l] (l ≤ p < ∞), L.[0,2π] and .. are considered.