Inclusion Theorems for Bounded Convergence Fields

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Authors

  • Robert E. Atalla
     Department of Mathematics, Ohio University, Athens, Ohio 45701 ,US

Abstract

Let A = (amn) and B = (bmn) be regular matrices. The mth row of A is Am.

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Published

1974-12-01

How to Cite

Atalla, R. E. (1974). Inclusion Theorems for Bounded Convergence Fields. The Journal of the Indian Mathematical Society, 38(1-4), 405–410. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/16718

Issue

Volume 38, Issue 1-4, March-December 1974

Section

Articles

License

Copyright (c) 1974 Robert E. Atalla

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

[AJ] R. ATALLA, On the inclusion of a bounded convergence field in the space almost convergent sequences, Glasgow Math. J. 13 (1972), 82-90.

[A2] R. ATALLA, On the consistency theorem in matrix summability, Proc. Amer. Math. Soc. 35 (1972), 416-422.

[D] M. DAY, Normed linear spaces, Springer, New York, 1962.

[D-S] N. DUNFORD AND J SCHWARTZ, Linear operators, Vol. I, Interscience, New York and London, 1958.

[E-P] P. ERDOS AND G. PIRANIAN, The topologization of sequence spaces by Toeplitz matrices, Mich. Math. J. 5 (1958), 139-148.

[P] G. M. PETERSEN, Regular matrix transformations, McGraw-Hill, London, 1966.

[R] W. RUDIN Homogeneity problems in the theory of Cech compactifications, Duke Math. J. 23 (1956), 409-419.

[W] A. WILANSKY, Functional analysis, Blaisdell, New York, 1964.

[Z] K. ZELLER AND W. BEEKMAN, Theorie der Limitierungsverfahrungen, 2ni edition, Springer-Verlag, Berlin 1970.