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The structure of measurable mappings with values in locally convex spaces
Author(s):
Jun
Kawabe
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1513-1515.
MSC (1991):
Primary 28C15, 60B05;
Secondary 28A20, 28C20, 60B11
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Abstract:
The purpose of this paper is to show that a theorem of A. Wisniewski remains valid without the approximation property.
References:
- [1]
- X. Fernique, Processus linéaires, processus généralisés Ann. Inst. Fourier (Grenoble) 17 (1967), 1-92. MR 36:4628
- [2]
- I. I. Gihman and A. V. Skorohod, The theory of stochastic processes. I, Springer-Verlag, Berlin, Heidelberg and New York, 1974. MR 49:11603
- [3]
- A. P. Robertson and W. Robertson, Topological vector spaces, Cambridge Univ. Press, 1964. MR 28:5318
- [4]
- L. Schwartz, Radon measures on arbitrary topological spaces and cylindrical measures, Oxford Univ. Press, 1973. MR 54:14030
- [5]
- A. Wisniewski, The structure of measurable mappings on metric spaces, Proc. Amer. Math. Soc. 122 (1994), 147-150. MR 94k:28006
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Additional Information:
Jun
Kawabe
Affiliation:
Department of Mathematics, Faculty of Engineering, Shinshu University, Wakasato, Nagano 380, Japan
Email:
jkawabe@gipwc.shinshu-u.ac.jp
DOI:
10.1090/S0002-9939-96-03229-7
PII:
S 0002-9939(96)03229-7
Keywords:
$\mu$-measurable mappings,
continuous mappings,
Suslin spaces,
Banach spaces,
Fr\'{e}chet spaces,
nuclear spaces,
locally convex spaces,
approximation property
Received by editor(s):
October 25, 1994
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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