On generalized probabilistic 2-normed spaces.
Goleţ, Ioan (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Displaying similar documents to “Approximation theorems in probabilistic normed spaces.”
On generalized probabilistic 2-normed spaces.
Banach Algebra of Bounded Complex-Valued Functionals
Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama (2011)
Formalized Mathematics
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In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded complex-valued functionals.
Functional Space C (ω), C 0 (ω)
Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama (2012)
Formalized Mathematics
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In this article, first we give a definition of a functional space which is constructed from all complex-valued continuous functions defined on a compact topological space. We prove that this functional space is a Banach algebra. Next, we give a definition of a function space which is constructed from all complex-valued continuous functions with bounded support. We also prove that this function space is a complex normed space.
-nsr lemma and quotient space in -normed space
P. Riyas, K. T. Ravindran (2011)
Matematički Vesnik
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Dual Spaces and Hahn-Banach Theorem
Keiko Narita, Noboru Endou, Yasunari Shidama (2014)
Formalized Mathematics
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In this article, we deal with dual spaces and the Hahn-Banach Theorem. At the first, we defined dual spaces of real linear spaces and proved related basic properties. Next, we defined dual spaces of real normed spaces. We formed the definitions based on dual spaces of real linear spaces. In addition, we proved properties of the norm about elements of dual spaces. For the proof we referred to descriptions in the article [21]. Finally, applying theorems of the second section, we proved...
-approximation in generalized 2-normed spaces
Mehmet Açikgöz (2009)
Matematički Vesnik
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Contracting Mapping on Normed Linear Space
Keiichi Miyajima, Artur Korniłowicz, Yasunari Shidama (2012)
Formalized Mathematics
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In this article, we described the contracting mapping on normed linear space. Furthermore, we applied that mapping to ordinary differential equations on real normed space. Our method is based on the one presented by Schwarz [29].
Banach Algebra of Bounded Functionals
Yasunari Shidama, Hikofumi Suzuki, Noboru Endou (2008)
Formalized Mathematics
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In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded functionals.MML identifier: C0SP1, version: 7.8.10 4.99.1005
Isometric Differentiable Functions on Real Normed Space
Yuichi Futa, Noboru Endou, Yasunari Shidama (2013)
Formalized Mathematics
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In this article, we formalize isometric differentiable functions on real normed space [17], and their properties.
Some remarks on functions with values in probabilistic normed spaces
Ioan Goleţ (2007)
Mathematica Slovaca
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Equivalence relations of -norms on a vector space
Tyas Rangga Kristiantoo, Raden Akbar Wibawa-Kusumah, Hendra Gunawan (2013)
Matematički Vesnik
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