Ball Remotality in Banach Spaces and Related Topics

Author (Researcher Name)

Tanmoy Paul Dr., Indian Statistical Institute

Date of Submission

7-28-2010

Date of Award

7-28-2011

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Mathematics

Department

Theoretical Statistics and Mathematics Unit (TSMU-Kolkata)

Supervisor

Bandyopadhyay, Pradipta (TSMU-Kolkata; ISI)

Abstract (Summary of the Work)

In this work we aim to study Ball Remotality and densely Ball Remotality of subspaces in Banach spaces. We study this property in many classical spaces of type c0, c,\\â„“p and C(K) where K is a compact Hausdorff space. The said problem also discussed for Banach spaces when considered as a subspace in its bidual. It is observed M-ideals in C(K) are densely ball remotal. It is shown that a particular type of M-ideal in A(K) where K is a Choquet simplex is densely ball remotal.

Comments

ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28544962

DOI not yet assigned.

ProQuest Collection ID: ??

Another Identifier: http://hdl.handle.net/10263/7111

Control Number

ISI-Lib-TH309

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

Paul, Tanmoy Dr., "Ball Remotality in Banach Spaces and Related Topics" (2011). Doctoral Theses. 5.
https://digitalcommons.isical.ac.in/doctoral-theses/5