On the constants associated with a reversible summability matrix
HTML articles powered by AMS MathViewer
- by M. R. Parameswaran PDF
- Proc. Amer. Math. Soc. 8 (1957), 341-344 Request permission
References
-
S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- J. D. Hill, Some properties of summability. II, Bull. Amer. Math. Soc. 50 (1944), 227–230. MR 10000, DOI 10.1090/S0002-9904-1944-08117-2
- M. S. Macphail, A remark on reversible matrices, Proc. Amer. Math. Soc. 5 (1954), 120–121. MR 59385, DOI 10.1090/S0002-9939-1954-0059385-2
- M. R. Parameswaran, On the reciprocal of a $K$-matrix, J. Indian Math. Soc. (N.S.) 20 (1956), 329–331 (1957). MR 89286
- Albert Wilansky, A necessary and sufficient condition that a summability method be stronger than convergence, Bull. Amer. Math. Soc. 55 (1949), 914–916. MR 32024, DOI 10.1090/S0002-9904-1949-09307-2
- Albert Wilansky, Convergence fields or row-finite and row-infinite reversible matrices, Proc. Amer. Math. Soc. 3 (1952), 389–391. MR 47800, DOI 10.1090/S0002-9939-1952-0047800-8
- Albert Wilansky and Karl Zeller, Inverses of matrices and matrix-transformations, Proc. Amer. Math. Soc. 6 (1955), 414–420. MR 72965, DOI 10.1090/S0002-9939-1955-0072965-4
- Karl Zeller, $FK$-Räume und Matrixtransformationen, Math. Z. 58 (1953), 46–48 (German). MR 54066, DOI 10.1007/BF01174129
- Karl Zeller, Allgemeine Eigenschaften von Limitierungsverfahren, Math. Z. 53 (1951), 463–487 (German). MR 39824, DOI 10.1007/BF01175646
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 8 (1957), 341-344
- MSC: Primary 40.0X
- DOI: https://doi.org/10.1090/S0002-9939-1957-0084058-2
- MathSciNet review: 0084058