An example of a probabilistic metric space not induced from a random normed space.
Jebril, Iqbal Hamzh, Noorani, Mohd.Salmi Md., Saari, Ahamad Shabir (2003)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Displaying similar documents to “Completion of probabilistic normed spaces.”
An example of a probabilistic metric space not induced from a random normed space.
Angles in metric and normed linear spaces
Clyde F. Martin, J. E. Valentine (1976)
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Metric betweenness in normed linear spaces
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Some remarks on functions with values in probabilistic normed spaces
Ioan Goleţ (2007)
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Statistical convergence of double sequences on probabilistic normed spaces.
Karakus, S., Demırcı, K. (2007)
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On the probabilistic domain invariance.
Beg, Ismat, Gal, Sorin (2002)
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New types of continuous linear operator in probabilistic normed space.
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Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Baire's Category Theorem and Some Spaces Generated from Real Normed Space 1
Noboru Endou, Yasunari Shidama, Katsumasa Okamura (2006)
Formalized Mathematics
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As application of complete metric space, we proved a Baire's category theorem. Then we defined some spaces generated from real normed space and discussed each of them. In the second section, we showed the equivalence of convergence and the continuity of a function. In other sections, we showed some topological properties of two spaces, which are topological space and linear topological space generated from real normed space.
On probabilistic normed spaces under .
Ying, Mingsheng (1990)
International Journal of Mathematics and Mathematical Sciences
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Orthogonality in normed linear spaces: a classification of the different concepts and some open problems.
Carlos Benítez Rodríguez (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Orthogonality in inner products is a binary relation that can be expressed in many ways without explicit mention to the inner product of the space. Great part of such definitions have also sense in normed linear spaces. This simple observation is at the base of many concepts of orthogonality in these more general structures. Various authors introduced such concepts over the last fifty years, although the origins of some of the most interesting results that can be obtained for these generalized...