English

On $k$ point density problem for band-diagonal $M$-bases

Functional Analysis 2019-06-04 v1 Operator Algebras

Abstract

In the early 1990s the works of Larson, Wogen and Argyros, Lambrou, Longstaff disclosed an example of a strong tridiagonal MM-basis that was not rank one dense. Later Katavolos, Lambrou and Papadakis studied kk point density property of this example. In this paper we present new methods for the analysis of kk point density and rank one density properties for band-diagonal MM-bases.

Cite

@article{arxiv.1906.00293,
  title  = {On $k$ point density problem for band-diagonal $M$-bases},
  author = {Alexey Pyshkin},
  journal= {arXiv preprint arXiv:1906.00293},
  year   = {2019}
}
R2 v1 2026-06-23T09:37:02.483Z