Pointwise Boundedness and Equicontinuity in ß-Duals.

Authors

  • Charles Swartz New Mexico State University.

DOI:

https://doi.org/10.4067/S0716-09172010000200006

Keywords:

Vector spaces, operators, espacios vectoriales, operadores.

Abstract

Let E be a vector valued sequence space with operator valued ß-dual EßY. If E satisfies certain gliding hump assumptions, we show that pointwise bounded subsets of EßY are sequentially equicontinuous. The result is established by considering uniform convergence of the elements in EßY.

Author Biography

Charles Swartz, New Mexico State University.

Mathematics Department.

References

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Published

2011-01-07

How to Cite

[1]
C. Swartz, “Pointwise Boundedness and Equicontinuity in ß-Duals.”, Proyecciones (Antofagasta, On line), vol. 29, no. 2, pp. 137-144, Jan. 2011.

Issue

Section

Artículos