paper

A note on Basis Problem in normed spaces

arXiv:1806.07943

Abstract

In this work, we prove the criterion of Banach-Grunblum and the principle of selection of Bessaga-Pełczyński for normed spaces. As applications of these results, we show the Principle of Selection of Bessaga-Pełczyński for normed spaces and the Spectral Theorem for compact self-adjoint operators on inner product spaces.

17 pages. Improvement of the paper, added a section of conclusion, including a Spectral Theorem in this context, new references, deleted some references not used in the text. To b published in EQUATIONS, An Open Access International Journal of Mathematical and Computational Methods in Science and Engineering. No fees have been paid for this publication

A note on Basis Problem in normed spaces · wovepaper