A Riesz representation theorem in the setting of locally convex spaces
Author:
Robert K. Goodrich
Journal:
Trans. Amer. Math. Soc. 131 (1968), 246-258
MSC:
Primary 47.25; Secondary 28.00
DOI:
https://doi.org/10.1090/S0002-9947-1968-0222681-4
MathSciNet review:
0222681
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. MR 0033869
- J. L. Kelley and Isaac Namioka, Linear topological spaces, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J., 1963. With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. MR 0166578 F. Riesz, Sur les opérations fonctionelles linéaires, C. R. Acad. Sci. Paris 149 (1909), 974-977.
- A. P. Robertson and W. J. Robertson, Topological vector spaces, Cambridge Tracts in Mathematics and Mathematical Physics, No. 53, Cambridge University Press, New York, 1964. MR 0162118
- Khyson Swong, A representation theory of continuous linear maps, Math. Ann. 155 (1964), 270-291; errata, ibid. 157 (1964), 178. MR 0165358, DOI https://doi.org/10.1007/BF01354862
- Don H. Tucker, A representation theorem for a continuous linear transformation on a space of continuous functions, Proc. Amer. Math. Soc. 16 (1965), 946–953. MR 199722, DOI https://doi.org/10.1090/S0002-9939-1965-0199722-9 D. J. Uherka, A Riesz representation theorem, Ph.D. Thesis, University of Utah, Salt Lake City, 1964.
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Article copyright:
© Copyright 1968
American Mathematical Society
