On the Numerical Range of Operators on some Special Banach Spaces

被引：0

作者：

Mandal, Kalidas ^{[1
]}

Bhanja, Aniket ^{[2
]}

Bag, Santanu ^{[2
]}

Paul, Kallol ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata, W Bengal, India

[2] Vivekananda Coll Thakurpukur, Dept Math, Kolkata, W Bengal, India

来源：

JOURNAL OF CONVEX ANALYSIS | 2022年 / 29卷 / 02期

关键词：

Semi-inner-product; numerical range; convex set;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The numerical range of a bounded linear operator on a complex Banach space need not be convex unlike that on a Hilbert space. The aim of this paper is to study operators T on l(p)(2) for which the numerical range is convex. We also obtain a nice relation between V(T) and V(T-t) considering T is an element of L(l(p)(2) ) and T-t is an element of L(l(q)(2)), where T-t denotes the transpose of T and p and q are conjugate real numbers i.e., 1 < p, q < infinity and 1/p + 1/q = 1.

引用

页码：371 / 380

页数：10

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