A Class of Schur Multipliers of Matrices with Operator Entries

被引：3
|
作者：
Blasco, Oscar [1 ]
Garcia-Bayona, Ismael [1 ]
机构：
[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 04期
关键词：
Schur product; Toeplitz matrix; Schur multiplier; vector-valued measure; vector-valued function;
D O I：
10.1007/s00009-019-1364-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will consider matrices with entries in the space of operators B(H), where H is a separable Hilbert space, and consider the class of (left or right) Schur multipliers that can be approached in the multiplier norm by matrices with a finite number of diagonals. We will concentrate on the case of Toeplitz matrices and of upper triangular matrices to get some connections with spaces of vector-valued functions.
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页数：16
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