Function Algebras over Valued Fields and Measures. Nota II

George Bachman; Edward Beckenstein; Lawrence Narici

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1972)

  • Volume: 52, Issue: 2, page 120-125
  • ISSN: 0392-7881

How to cite

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Bachman, George, Beckenstein, Edward, and Narici, Lawrence. "Function Algebras over Valued Fields and Measures. Nota II." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 52.2 (1972): 120-125. <http://eudml.org/doc/295782>.

@article{Bachman1972,
author = {Bachman, George, Beckenstein, Edward, Narici, Lawrence},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {120-125},
publisher = {Accademia Nazionale dei Lincei},
title = {Function Algebras over Valued Fields and Measures. Nota II},
url = {http://eudml.org/doc/295782},
volume = {52},
year = {1972},
}

TY - JOUR
AU - Bachman, George
AU - Beckenstein, Edward
AU - Narici, Lawrence
TI - Function Algebras over Valued Fields and Measures. Nota II
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1972/2//
PB - Accademia Nazionale dei Lincei
VL - 52
IS - 2
SP - 120
EP - 125
LA - eng
UR - http://eudml.org/doc/295782
ER -

References

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  1. BACHMAN, G., Introduction to p-adic numbers and valuation theory, Academic Press, New York, 1964. MR169847
  2. BECKENSTEIN, E., BACHMAN, G. and NARICI, L., Spectral continuity and permanent sets in topological algebras, «Atti Acc. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 50 (3), 277-283 (1971). Zbl0225.46052MR306907
  3. BECKENSTEIN, E., BACHMAN, G. and NARICI, L., Function algebras over valued fields, «Pac. J. Math.», (to appear). Zbl0249.46032MR317057
  4. DUGUNDJI, L., Topology, Allyn and Bacon, Boston1966. MR193606
  5. ELLIS, R. L., A nonarchimedean analog of the Tietze-extension Theorem, «Indag. Math.», 29, 332-333 (1967). Zbl0148.16402MR212771
  6. GILLMAN, L. and JERISON, M., Rings of Continuous functions, van Nostrand, Princeton, N.J., 1960. MR116199
  7. KELLEY, J. L., General Topology, van Nostrand, Princeton, N.J., 1955. MR70144
  8. MONNA, A. F. and SPRINGER, T. A., Intégration Non-Archimêdienne I-II, «Indag. Math.», 25, 634-653 (1963). Zbl0147.11803MR156937
  9. NACHBIN, L., Topological vector spaces of continuous functions, «Proc. Nat. Acad. Sci. (U.S.A.)», 40, 471-474 (1954). Zbl0055.09803MR63647DOI10.1073/pnas.40.6.471
  10. NARICI, L., BECKENSTEIN, E. and BACHMAN, G., Functional Analysis and Valuation Theory, Marcel Dekker Inc., New York, 1971. Zbl0218.46004MR361697
  11. SHIROTA, T., On locally convex spaces of continuous functions, «Proc. Japan Acad.», 30, 294-298 (1954). Zbl0057.33801MR64389
  12. VAN ROOIJ, A. C. M., Noh-archimedean uniformities, «Kyung pook Math. J.», 10 (1), 21-30, July 1970. MR264598
  13. VAN ROOIJ, A. C. M. and SCHIKHOF, W. H., Non-archimedean integration theory, «Indag. Math.», 31, 190-199 (1969). Zbl0174.19203MR243032
  14. WARNER, S., Inductive limits of normed algebras, «Trans. Amer. Math. Soc.», 190-216 (1956). Zbl0070.34101MR79226DOI10.2307/1992986
  15. WARNER, S., The topology of compact convergence on continuous function spaces, «Duke Math. J.», 25, 265-282 (1958). Zbl0081.32802MR102735

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