Date of Submission
2-28-2011
Date of Award
2-28-2012
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 project 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.
Control Number
TH309
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
DSpace Identifier
http://hdl.handle.net/10263/3596
Recommended Citation
Paul, Tanmoy, "Ball Remotality in Banach Spaces and Related Topics." (2012). Doctoral Theses. 4.
https://digitalcommons.isical.ac.in/doctoral-theses/4
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