Schauder Bases and Operator Theory

Details Schauder Bases and Operator Theory Schauder Bases and Operator Theory

2012-03-16

arxiv.org/abs/1203.3603v1

Mathematics

Functional Analysis

17 pages

Scientific paper

In this paper, we firstly give a matrix approach to the bases of a separable
Hilbert space and then correct a mistake appearing in both review and the
English translation of the Olevskii's paper. After this, we show that even a
diagonal compact operator may map an orthonormal basis into a conditional
basis.

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