TY - JOUR
T1 - Basis constants for the space of n × n matrices
AU - Gleit, Alan
AU - Lazar, Aldo J.
PY - 1976/8
Y1 - 1976/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=49549132557&partnerID=8YFLogxK
U2 - 10.1016/0022-1236(76)90003-3
DO - 10.1016/0022-1236(76)90003-3
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AN - SCOPUS:49549132557
SN - 0022-1236
VL - 22
SP - 354
EP - 365
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 4
ER -