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The generalized Yosida–Hewitt theorem

Published online by Cambridge University Press:  24 October 2008

A. Basile ,
A. V. Bukhvalov  and
M. Ya. Yakubson
A. Basile
Affiliation:
Dipartimento di Matematica e Applicazioni, Complesso Monte S. Angelo, Università Federico II, Via Cintia, 80126 Napoli, Italy
A. V. Bukhvalov
Affiliation:
Department of Mathematics, St Petersburg University of Economics and Finance, Sadovaya Street 21, 191023 St Petersburg, Russia
M. Ya. Yakubson
Affiliation:
Department of Mathematical Analysis, St Petersburg Pedagogical University, St Petersburg, Russia
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Extract

The Yosida–Hewitt (YH, for short) theorem [YH] has many versions and generalizations in diverse settings, e.g. functionals on vector lattices and spaces of vector-valued functions, measures with values in Banach spaces, topological groups and vector lattices, etc. In this paper we derive a very general form of the YH theorem dealing with the much more general case of operators acting in vector lattices (VLs, for short) and Banach spaces (BSs, for short). A unified approach to all settings mentioned above may be founded on decompositions for operators in VLs.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 3 , November 1994 , pp. 527 - 533
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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