The Mazur-Orlicz bounded consistency theorem
HTML articles powered by AMS MathViewer
- by A. K. Snyder and A. Wilansky PDF
- Proc. Amer. Math. Soc. 80 (1980), 374-376 Request permission
Abstract:
An elementary and computationally easy proof of the Mazur-Orlicz bounded consistency theorem.References
- Ralph Palmer Agnew, Convergence fields of methods of summability, Ann. of Math. (2) 46 (1945), 93â101. MR 11334, DOI 10.2307/1969149
- J. Copping, Inclusion theorems for conservative summation methods, Nederl. Akad. Wetensch. Proc. Ser. A 61 = Indag. Math. 20 (1958), 485â499. MR 0099552, DOI 10.1016/S1385-7258(58)50069-9 S. Mazur and W. Orlicz, Sur les methodes lineaires de sommation, C. R. Acad. Sci. Paris SÊr. A-B 196 (1933), 32-34.
- Zbigniew Semadeni, Book Review: Saks spaces and applications to functional analysis, Bull. Amer. Math. Soc. (N.S.) 1 (1979), no. 3, 541â544. MR 1567147, DOI 10.1090/S0273-0979-1979-14615-9
- A. K. Snyder, Conull and coregular $\textrm {FK}$ spaces, Math. Z. 90 (1965), 376â381. MR 185315, DOI 10.1007/BF01112357
- Albert Wilansky, Topological divisors of zero and Tauberian theorems, Trans. Amer. Math. Soc. 113 (1964), 240â251. MR 168967, DOI 10.1090/S0002-9947-1964-0168967-X â, Modern methods on topological vector spaces, McGraw-Hill, New York, 1978.
- K. Zeller and W. Beekmann, Theorie der Limitierungsverfahren, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 15, Springer-Verlag, Berlin-New York, 1970 (German). Zweite, erweiterte und verbesserte Auflage. MR 0264267, DOI 10.1007/978-3-642-88470-2
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 374-376
- MSC: Primary 40H05
- DOI: https://doi.org/10.1090/S0002-9939-1980-0577777-5
- MathSciNet review: 577777