Regularity of net summability transforms on certain linear topological spaces
HTML articles powered by AMS MathViewer
- by R. H. Cox and R. E. Powell
- Proc. Amer. Math. Soc. 21 (1969), 471-476
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243235-6
- PDF | Request permission
References
- C. Raymond Adams, On summability of double series, Trans. Amer. Math. Soc. 34 (1932), no. 2, 215–230. MR 1501635, DOI 10.1090/S0002-9947-1932-1501635-7
- Ralph Palmer Agnew, On Summability of Multiple Sequences, Amer. J. Math. 56 (1934), no. 1-4, 62–68. MR 1507930, DOI 10.2307/2370913
- P. A. Fraleigh, Regular Bilinear Transformations of Sequences, Amer. J. Math. 53 (1931), no. 3, 697–709. MR 1506847, DOI 10.2307/2371176
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144 T. Kojima, On the theory of double sequences, Tôhoku Math. J. 21 (1922), 3-14.
- H. Melvin-Melvin, On generalized $K$-transformations in Banach spaces, Proc. London Math. Soc. (2) 53 (1951), 83–108. MR 42054, DOI 10.1112/plms/s2-53.2.83
- M. S. Ramanujan, Generalized Kojima-Toeplitz matrices in certain linear topological spaces, Math. Ann. 159 (1965), 365–373. MR 216203, DOI 10.1007/BF01362772
- 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
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 21 (1969), 471-476
- MSC: Primary 40.50
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243235-6
- MathSciNet review: 0243235