A probability operator

dc.contributor.author	Sinclair, Allan M
dc.date.accessioned	2026-03-03T13:36:15Z
dc.date.issued	1965
dc.description.abstract	From Introduction: In probability theory it is often convenient to represent laws by characteristic functions, these being particularly suited to classical analysis. Trotter has suggest ted that probability laws can also be represented by probability operators. These operators are easily handled since they are continuous, and hence bounded, positive linear operators on a normed linear space. This representation arises because distribution functions and their complete convergence correspond to probability operators and their complete convergence. Hence the relations between distribution functions and probability operators will be discussed before the introduction of probability laws.
dc.description.degree	Master's thesis
dc.description.degree	MSc
dc.format.extent	57 pages
dc.format.mimetype	application/pdf
dc.identifier.other	http://hdl.handle.net/10962/d1007702
dc.identifier.uri	https://researchrepository.ru.ac.za/handle/123456789/4146
dc.language	English
dc.publisher	Rhodes University, Faculty of Science, Department of Mathematics
dc.rights	Sinclair, Allan M
dc.subject	Mathematics
dc.subject	Probabilities
dc.title	A probability operator
dc.type	Academic thesis

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