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Displaying similar documents to “Mean value theorems for linear and semi-linear rotation invariant operators”

Unitarily invariant norms related to semi-finite factors

Junsheng Fang, Don Hadwin (2015)

Studia Mathematica

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Let ℳ be a semi-finite factor and let 𝓙(ℳ ) be the set of operators T in ℳ such that T = ETE for some finite projection E. We obtain a representation theorem for unitarily invariant norms on 𝓙(ℳ ) in terms of Ky Fan norms. As an application, we prove that the class of unitarily invariant norms on 𝓙(ℳ ) coincides with the class of symmetric gauge norms on a classical abelian algebra, which generalizes von Neumann's classical 1940 result on unitarily invariant norms on Mₙ(ℂ). As another...

Semi-open sets in biclosure spaces

Jeeranunt Khampakdee, Chawalit Boonpok (2009)

Discussiones Mathematicae - General Algebra and Applications

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The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.