Triangular projection on \boldsymbolS_p,~0

2022/07/06 by А. Б. Александров, Aleksandrov, Aleksei, Vladimir Peller +1
Mathematics · #47B10 #47B35 #Advanced Banach Space Theory #Advanced Topics in Algebra #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Point processes and geometric inequalities #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2207.02975

openalex publication_date 2022/07/06 · openalex created_date 2022/07/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study properties of the triangular projection \mathcal P_n on the space of n× n matrices. The projection \mathcal P_n annihilates the entries of an n× n matrix below the main diagonal and leaves the remaining entries unchanged. We estimate the p-norms of \mathcal P_n as an operator on the Schatten--von Neumann class \boldsymbolS_p for 0

Related

• Triangular projection on \boldsymbolS_p,~0
• The p-norm of some matrices
• Linear maps preserving (p,k) norms of tensor products of matrices
• Norms of Minimal Projections
• Schur multipliers of Schatten--von Neumann classes \boldsymbolS_p