ON BOUNDEDLY COMPLETE TRANSFINITE BASES IN BANACH SPACES

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P. K. JAIN
S. K. KAUSHIK

Abstract




ON BOUNDEDLY COMPLETE TRANSFINITE BASES IN BANACH SPACES




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JAIN, P. K., & KAUSHIK, S. K. (1990). ON BOUNDEDLY COMPLETE TRANSFINITE BASES IN BANACH SPACES. Tamkang Journal of Mathematics, 21(1), 7–12. https://doi.org/10.5556/j.tkjm.21.1990.4628
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Papers

References

Bessaga. C., "Topological. equivalence of unseparable reflexive Banach spaces", Ordinal resolutions of identity and monotone bases. Bull. A cad. Polon. Sci. 15(1967), 397-399.

---- , "Topological equivalence of non-separable reflexive Banach spaces", Ordinal resolutions of identity and monotone bases. Proc. Sympos. on "Infinite dimensional topology" held in Baton Rouge, Louisiana., 1967, p.3-14, Princeton : Ann. of Math. Studies 69, Princeton Univ. Press (1972).

Bessaga. C. and Pelczynski. A., Selected topics in infinite dimensional topology. Monografje Matematyczne, Warszawa (1975).

Casazza. P., On a geometric condition related to boundedly complete bases and normal structure in Banach.spaces. Proc. Amer. Math. Soc. 36(1972), 443-447.

Dorembus. L., Transfinite bases of subspaces in Hausdorff linear topological spaces. Math. Ann. 192(1971), 71-82.

Jain, P.K. and Ahmad. K: A note on transfinite basis in Banach spaces. Tamkang Jour. Math. (To appear).

Singer. I., Bases in Banach Spaces-II. Springer-Verlag, Berlin (1981).