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Generic subadditive functions

Author(s): N. H. Bingham; A. J. Ostaszewski
Journal: Proc. Amer. Math. Soc. 136 (2008), 4257-4266.
MSC (2000): Primary 39B62
Posted: July 22, 2008
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Abstract: We prove a generalization of the `Subadditive Limit Theorem' and of the corresponding Berz Theorem in a class of functions that includes both the measurable functions and the `Baire functions'. The generic subadditive functions are defined by a combinatorial property previously introduced by the authors for the study of the foundations of regular variation. By specialization we provide the previously unknown Baire variants of the fundamental theorems of subadditive functions, answering an old question posed by Bingham, Goldie, and Teugels in 1987.

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Additional Information:

N. H. Bingham
Affiliation: Department of Mathematics, Imperial College London, South Kensington, London SW7 2AZ, United Kingdom
Email: n.bingham@ic.ac.uk

A. J. Ostaszewski
Affiliation: Department of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, United Kingdom
Email: a.j.ostaszewski@lse.ac.uk

DOI: 10.1090/S0002-9939-08-09504-X
PII: S 0002-9939(08)09504-X
Keywords: No trumps principle, subadditive function.
Received by editor(s): June 29, 2007
Posted: July 22, 2008
Communicated by: Michael T. Lacey
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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