On the definition of a probalistic normed space.
C. Alsina, A. Sklar, B. Schweizer (1993)
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C. Alsina, A. Sklar, B. Schweizer (1993)
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Isidore Fleischer (1986)
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C. Alsina, A. Sklar, B. Schweizer (1992)
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C. Alsina, M.S. Tomás, P. Guijarro (1997)
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ÁNGEL RODRÍGUEZ PALACIOS (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Pavlov, A.A. (2000)
Zapiski Nauchnykh Seminarov POMI
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Detlef Laugwitz (1993)
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A. Beddaa, M. Oudadess (1989)
Studia Mathematica
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Ana Rodríguez Palacios (1992)
Publicacions Matemàtiques
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We develop a structure theory for left divsion absolute valued algebras which shows, among other things, that the norm of such an algebra comes from an inner product. Moreover, we prove the existence of left division complete absolute valued algebras with left unit of arbitrary infinite hilbertian division and with the additional property that they have nonzero proper closed left ideals. Our construction involves results from the representation theory of the so called "Canonical Anticommutation...
Bertram Yood (1994)
Studia Mathematica
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Let C(Ω) be the algebra of all complex-valued continuous functions on a topological space Ω where C(Ω) contains unbounded functions. First it is shown that C(Ω) cannot have a Banach algebra norm. Then it is shown that, for certain Ω, C(Ω) cannot possess an (incomplete) normed algebra norm. In particular, this is so for where ℝ is the reals.
J. Okninski (1986)
Semigroup forum
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