LIPSCHITZ-TYPE INEQUALITIES FOR ANALYTIC FUNCTIONS IN BANACH ALGEBRAS

被引：2
作者：
Dragomir, Silvestru Sever [1 ,2 ]
机构：
[1] Victoria Univ, Coll Engn & Sci, Math, POB 14428, Melbourne City, MC 8001, Australia
[2] Univ Witwatersrand, Sch Comp Sci & Appl Math, DST NRF Ctr Excellence Math & Stat Sci, Private Bag 3, ZA-2050 Johannesburg, South Africa
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2019年 / 100卷 / 03期
关键词：
Banach algebras; analytic functions; Lipschitz-type inequalities; exponential and logarithmic functions on Banach algebra;
D O I：
10.1017/S000497271900042X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we provide some bounds for the quantity parallel to f(y) - f(x)parallel to, where f : D -> C is an analytic function on the domain D subset of C and x, y is an element of B, a Banach algebra, with the spectra sigma(x), sigma(y) subset of D. Applications for the exponential and logarithmic functions on the Banach algebra B are also given.
引用
收藏
页码：489 / 497
页数：9
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