Abstract
When U is a balanced open subset of a reflexive Banach space E with P(nE) =\nPw(nE) for every positive integer n, we show that the predual of the space of weakly uniformly\ncontinuous holomorphic mappings on U, Gwu(U), has the bounded approximation\nproperty if and only if E has the bounded approximation property if and only if P(nE) has\nthe bounded approximation property for every positive integer n. An analogous result is\nestablished for the predual of the space of holomorphic mappings of bounded type also.
Keywords
Bounded function
Mathematics
Holomorphic function
Banach space
Integer (computer science)
Discrete mathematics
Approximation property
Type (biology)
Space (punctuation)
Pure mathematics
Mathematical analysis
Computer science
Subject Areas
Advanced Banach Space Theory
·Mathematical Physics ·Physical Sciences
Approximation Theory and Sequence Spaces
·Statistics and Probability ·Physical Sciences
Fixed Point Theorems Analysis
·Geometry and Topology ·Physical Sciences
Citations by Year
2012: 1
2017: 2
2024: 1
Loading…
Loading…