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Holomorphic Vector‐Valued Functions on a Domain of Holomorphy
Author(s) -
Allan G. R.
Publication year - 1967
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s1-42.1.509
Subject(s) - holomorphic function , citation , domain (mathematical analysis) , algebra over a field , computer science , library science , mathematics , information retrieval , arithmetic , pure mathematics , mathematical analysis
summary:It is well-known that the topological boundary of the spectrum of an operator is contained in the approximate point spectrum. We show that the one-sided version of this result is not true. This gives also a negative answer to a problem of Schmoeger