2012/03/16 by Yang Cao, Geng Tian, Cao, Yang +3
Computer Science · Mathematics · #37B99 #47B99 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Primary 47B37 #Secondary 54H20
paper · pdf · doi:10.48550/arxiv.1203.3603
openalex publication_date 2012/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.