Basis constants for the space of n × n matrices

Alan Gleit*, Aldo J. Lazar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We show that there is a universal constant C > 1 such that any projection from Mn, n ≥ 3, onto a hyperplane has norm greater than or equal to C. Here Mn may be given either the trace-class or operator norm. Hence the basis constants for Mn, n ≥ 3, are bounded from below by C > 1. On the other hand, M2 is shown to have a monotone basis.

Original languageEnglish
Pages (from-to)354-365
Number of pages12
JournalJournal of Functional Analysis
Issue number4
StatePublished - Aug 1976
Externally publishedYes


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