Auerbach's theorem and tensor products of Banach spaces
Published online by Cambridge University Press: 24 October 2008
Extract
In his well-known treatise, Banach mentions that there exist complete normed bi-orthogonal systems in any finite-dimensional (real) Banach space—a result he attributes to H. Auerbach ((1), p. 238). The purpose of this note is to present a proof of this result (valid for complex as well as real Banach spaces), and to give some applications to the theory of tensor products of Banach spaces.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 3 , July 1962 , pp. 476 - 480
- Copyright
- Copyright © Cambridge Philosophical Society 1962
References
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