A Banach space is a real or complex normed vector space that is complete as a metric space under the metric induced by the norm. |
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His mathematical publications started in 1964 with a series of papers on topological algebras, measure algebras and Banach algebras. |
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A Banach space is a vector space with a norm, but not necessarily given by an inner product. |
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Normed and Banach spaces, linear functionals, the dual of a Banach space, weak convergence and linear operators. |
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Many of Riesz's fundamental findings in functional analysis were incorporated with those of Stefan Banach of Poland. |
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Kalecki was the third Pole to be honoured in this way by OUP, which has also published the complete works of Nicolaus Copernicus and Stefan Banach. |
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Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonseparable. |
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Stefan Banach, one of the most influential mathematicians of the 20th century, one of the principal founders of modern functional analysis. |
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These were the notions of a Hilbert space and a Banach space, named after the German mathematician David Hilbert and the Polish mathematician Stefan Banach, respectively. |
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Banach extended Hilbert's ideas considerably. |
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Our aim in this paper is to present results of existence of fixed points for continuous operators in Banach spaces using measure of noncompactness under an integral condition. |
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