Some sequence spaces and absolute almost convergence
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- by G. Das, B. Kuttner and S. Nanda PDF
- Trans. Amer. Math. Soc. 283 (1984), 729-739 Request permission
Abstract:
The object of this paper is to introduce a new concept of absolute almost convergence which emerges naturally as an absolute analogue of almost convergence, in the same way as convergence leads to absolute convergence.References
-
S. Banach, Théorie des opérations linéaires, Warszawa, 1932.
- D. G. Bourgin, Linear topological spaces, Amer. J. Math. 65 (1943), 637–659. MR 9104, DOI 10.2307/2371871
- G. Das, Banach and other limits, J. London Math. Soc. (2) 7 (1974), 501–507. MR 336148, DOI 10.1112/jlms/s2-7.3.501
- Max Landsberg, Lineare topologische Räume, die nicht lokalkonvex sind, Math. Z. 65 (1956), 104–112 (German). MR 78649, DOI 10.1007/BF01473873
- G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167–190. MR 27868, DOI 10.1007/BF02393648
- I. J. Maddox, Elements of functional analysis, Cambridge University Press, London-New York, 1970. MR 0390692
- S. Simons, The sequence spaces $l(p_{\nu })$ and $m(p_{\nu })$, Proc. London Math. Soc. (3) 15 (1965), 422–436. MR 176325, DOI 10.1112/plms/s3-15.1.422
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 283 (1984), 729-739
- MSC: Primary 46A45; Secondary 40G99
- DOI: https://doi.org/10.1090/S0002-9947-1984-0737896-5
- MathSciNet review: 737896