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Compact Sets of Holomorphic Mappings
Author(s) -
Boyd Christopher,
Dineen SeÁN
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981930104
Subject(s) - holomorphic function , mathematics , bounded function , compact space , identity theorem , pure mathematics , domain (mathematical analysis) , analyticity of holomorphic functions , infinite dimensional holomorphy , discrete mathematics , mathematical analysis , banach space , eberlein–šmulian theorem , lp space
Compactness of locally bounded sets of holomorphic functions with infinite dimensional domains is connected, using Heinrich's density condition, to the Schwartz and semi‐Montel properties on the domain. The metrizability of bounded subsets for various spaces of holomorphic functions is investigated.