MULTICENTRIC HOLOMORPHIC CALCULUS FOR n-TUPLES OF COMMUTING OPERATORS

被引：2

作者：

Andrei, Diana ^{[1
]}

机构：

[1] Univ Aalto, Dept Math & Syst Anal, POB 11100,Otakaari 1M, FI-00076 Espoo, Aalto, Finland

来源：

ADVANCES IN OPERATOR THEORY | 2019年 / 4卷 / 02期

关键词：

Multicentric calculus; commuting operator; lemniscate; von Neumann's inequality; homogeneous polynomial;

D O I：

10.15352/aot.1804-1346

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In multicentric holomorphic calculus, one represents the function phi, using a new polynomial variable omega = p(z); z is an element of C; in such a way that when it is evaluated at the operator T; then p(T) is small in norm. Usually it is assumed that p has distinct roots. In this paper we aim to extend this multicentric holomorphic calculus to n-tuples of commuting operators looking in particular at the case when n = 2.

引用

页码：447 / 461

页数：15

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