DILATIONS SIMILAR TO A SELF-ADJOINT OPERATOR

被引：0

作者：

Nagy, B. ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Anal, Inst Math, H-1521 Budapest, Hungary

来源：

OPERATORS AND MATRICES | 2017年 / 11卷 / 03期

关键词：

Polar decomposition; resolution of the identity; completely bounded operator valued measure; equivalent scalar products;

D O I：

10.7153/oam-11-54

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that every bounded linear operator T in a complex Hilbert space H is the (1,1)-compression of an operator in H circle plus H that is similar to a self-adjoint operator.

引用

页码：777 / 782

页数：6

共 7 条

[1]

[Anonymous], 1971, Linear operators. Part 3: Spectral operators

[2]

Dunford N., 1963, Linear Operators, V1st edition

[3] DILATIONS AND HAHN DECOMPOSITIONS FOR LINEAR-MAPS [J].

HADWIN, DW .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1981, 33 (04) :826-839

[4]

Paulsen V., 2002, Completely Bounded Maps and Operator Algebras, Cambridge studies in advanced mathematics

[5]

Ratz J., 1999, AEQUATIONES MATH, V57, P312

[6]

SUEN CY, 1989, P AM MATH SOC, V105, P330

[7] AN OPERATOR-VALUED HAHN-BANACH THEOREM [J].

WITTSTOCK, G .

JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 40 (02) :127-150

← 1 →