Surjective isometries on a Banach space of analytic functions with bounded derivatives

被引：1

作者：

Miura, Takeshi ^{[1
]}

Niwa, Norio ^{[2
]}

机构：

[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

[2] Nihon Univ, Sch Pharm, Res Off Math, Chiba 2748555, Japan

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2023年 / 89卷 / 1-2期

关键词：

Bounded analytic function; Disc algebra; Extreme point; Isometry; Uniform algebra; LINEAR ISOMETRIES;

D O I：

10.1007/s44146-023-00062-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H(D) be the linear space of all analytic functions on the open unit disc D and H-p(D) the Hardy space on D. The characterization of complex linear isometries on S-p = {f is an element of H(D) : f' is an element of Hp(D)} was given for 1 <= p < infinity by Novinger and Oberlin in 1985. Here, we characterize surjective, not necessarily linear, isometries on S-infinity.

引用

页码：109 / 145

页数：37

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