A study of Dunford-Pettis-like properties with applications to polynomials and analytic functions on normed spaces / Elroy Denovanne Zeekoei

A study of Dunford-Pettis-like properties with applications to polynomials and analytic functions on normed spaces / Elroy Denovanne Zeekoei

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Recall that a Banach space X has the Dunford-Pettis property if every weakly compact operator defined on X takes weakly compact sets into norm compact sets. Some valuable characterisations of Banach spaces with the Dunford-Pettis property are: X has the DPP if and only if for all Banach spaces Y, ev...

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Bibliographic Details
Main Author: Zeekoei, Elroy Denovanne
Published: North-West University 2012
Subjects:
Banach space
Weakly p-summable sequence
Weakly p-convergent sequence
p-convergent operator
Completely continuous operator
Completely continuous function
p-convergent function
Weakly compact set
Weakly p-compact set
Limited set
Dunford-Pettis property
Dunford-Petttis property of order p
DP *-property
DP* -property of order p
Homogeneous polynomial
Analytic function on a Banach space
Online Access:http://hdl.handle.net/10394/7586

Internet

http://hdl.handle.net/10394/7586

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