Pointwise Boundedness and Equicontinuity in ß-Duals.


  • Charles Swartz New Mexico State University.




Vector spaces, operators, espacios vectoriales, operadores.


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.


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How to Cite

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