Date of Submission

2-28-1971

Date of Award

2-28-1972

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Mathematics

Department

Economic Research Unit (ERU-Kolkata)

Supervisor

Maitra, Ashok (ERU-Kolkata; ISI)

Abstract (Summary of the Work)

This thesis 1s devoted to a study of measures vith emplas sis on nonatonie nea sures. Me briefrly desoribe here the work carried out in various chapters. In Chapter 1, we study various aspects of nonatomic nea sures based on some characterisations obtained early in the Chapter. In Chapter 2, the problem - when a mixture of nonatoftic mea sures is nonatomic - is exanined. An example and rive sufficient conditions are given. In Chapter 3, we examine when a mixture of 1nvariant non-ergorlie mesures is non-ergodic. An example and three sufficient eonditions are given. In Chapter 4, we study certain borel structures which do not adadt nonatomie noares. In Chapter 5, we give necessary and sufficient conditions for an algebra to admit a nonatomic charge. In Chapter 6, we characterise extreme points of the set of all probability measures on a product borel structure with proscribod marginal probabilities.Some of the results of the The sis ere gubmitted to various journals for publication. 15), i6] See 13), 14), and [7).

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:28843479

Control Number

ISILib-TH12

Creative Commons License

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

DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/2146

Download

Included in

Mathematics Commons

Share

COinS