首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Stable rank boundary principle
Authors:Rudolf Rupp
Institution:

Mathematisches Institut I, Universität Karlsruhe, Englerstraβe 2, D-7500 Karldruhe 1, FRG

Abstract:

Let K denote a compact subset of the complex plane Image . We present correct proof that the stable rank of A(K) is one. Hereby, A (K) is the algebra of all continuous functions on K which are analytic in the interior of K.

Let G denote a plane domain whose boundary consists of finitely many closed, nonintersecting Jordan curves. We show that for a fixed function of gεC(Image ), g≠0, the following assertions are equivalent:

Every unimodular element (f, g) is reducible to the principal component exp(C(Image )).

The zero set Zg is polynomially convex, i.e., its complement Image -45 degree ruleZg is connected.

Author Keywords: Bass' stable rank; reducible; unimodular; 1-stable; boundary principle

Keywords:Bass' stable rank  reducible  unimodular  1-stable  boundary principle
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号