Displaying similar documents to “The Lukacs-Olkin-Rubin theorem on symmetric cones through Gleason's theorem”

On the symmetric continuity

Jaskuła, Janusz, Szkopińska, Bożena (2015-12-15T14:49:03Z)

Acta Universitatis Lodziensis. Folia Mathematica

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E-symmetric numbers

Gang Yu (2005)

Colloquium Mathematicae

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A positive integer n is called E-symmetric if there exists a positive integer m such that |m-n| = (ϕ(m),ϕ(n)), and n is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.

A unified approach to compact symmetric spaces of rank one

Adam Korányi, Fulvio Ricci (2010)

Colloquium Mathematicae

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A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.

bm-independence and central limit theorems associated with symmetric cones

Janusz Wysoczański (2007)

Banach Center Publications

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We present a generalization of the classical central limit theorem to the case of non-commuting random variables which are bm-independent and indexed by a partially ordered set. As the set of indices I we consider discrete lattices in symmetric positive cones, with the order given by the cones. We show that the limit measures have moments which satisfy recurrences generalizing the recurrence for the Catalan numbers.

Enclosing solutions of second order equations

Gerd Herzog, Roland Lemmert (2005)

Annales Polonici Mathematici

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We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.