دانلود Removable singularities in C*-algebras of real rank zero
عنوان انگليسي
:
Removable singularities in C*-algebras of real rank zero
چکیده
Abstract
Let U be a C*-algebra with identity and real rank zero. Suppose a complex-valued function is holomorphic and bounded on the intersection of the open unit ball of U and the identity component of the set of invertible elements of U. We give a short transparent proof that the function has a holomorphic extension to the entire open unit ball of U. The author previously deduced this from a more general fact about Banach algebras.
Keywords:
Infinite dimensional holomorphy Weak (FU)
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