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dc.contributor.advisor O'Neil, Richard
dc.creatorGerber, Brian Paul
dc.date.accessioned 2016-04-22T21:59:42Z
dc.date.available 2016-04-22T21:59:42Z
dc.date.issued 1969
dc.identifier.citation Gerber, Brian Paul. "Metric function spaces and reflected spaces." (1969) Master’s Thesis, Rice University. https://hdl.handle.net/1911/90087.
dc.identifier.urihttps://hdl.handle.net/1911/90087
dc.description.abstract In this paper we first define what is meant by the term metric function space. Basically, a metric function space consists of a set of functions F and a metric p on F which satisfies certain axioms. For example, the Lp spaces and the L(p, q) spaces are metric function spaces. For certain metric function spaces we can form what we will call the reflected space. Theorem 12 states that the reflected space to a metric function space is itself a metric function space. Theorem 13 shows that the reflected space to the reflected space of a metric function space is the original space. Theorem 14 gives a relation between a metric function space and its reflected space, namely, that a metric function space is absolutely continuous if and only if its reflected space has the truncation property.
dc.format.extent 23 pp
dc.language.iso eng
dc.title Metric function spaces and reflected spaces
dc.type Thesis
dc.identifier.digital RICE1123
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis Math. 1969 Gerber


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