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On Vector Lattice-Valued Measures

Published online by Cambridge University Press:  20 November 2018

R. Hrycay
R. Hrycay*
Affiliation:
University of Saskatchewan
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E. Hewitt [1] used the Daniell approach to define a real-valued measure function on a σ-algebra of the real line. He began by defining an arbitrary non-negative linear functional I on L∞ ∞(R), (the space of all complex-valued continuous functions on the real line R which vanish off some compact subset of R).

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 4 , June 1965, pp. 499 - 504
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Hewitt, Edwin, Theory of Functions of a Real Variable (Preliminary Edition), Holt, Rinehart and Winston, New York, (1960).Google Scholar
2. Naimark, M.A., Normed Rings, Translated from the first Russian Edition by Leo F. Boron, P. Noordhoff, N. V. -- Groningen, The Netherlands, (1959).Google Scholar
3. Birkhoff, Garrett, Lattice Theory, American Mathematical Society Colloquium Publications, Volume XXV, (1960).Google Scholar