Rank one density property for a class of M-bases

2019/01/08 by Alexey Pyshkin, Pyshkin, Alexey
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1901.02422

openalex publication_date 2019/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the early 1990s the works of Larson, Wogen and Argyros, Lambrou, Longstaff disclosed an example of a strong M-basis that did not admit a linear summation method. We study a class of M-bases \mathfrakF=\f_n\_n=1^∞ in the Hilbert space that generalizes the Larson--Wogen system. We determine the conditions under which \mathfrakF admits a linear summation method. In order to do that we employ some of the graph theory techniques.

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