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How to use Banach in a sentence

Looking for sentences and phrases with the word Banach? Here are some examples.

Sentence Examples
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.
His mathematical publications started in 1964 with a series of papers on topological algebras, measure algebras and Banach algebras.
A Banach space is a vector space with a norm, but not necessarily given by an inner product.
Normed and Banach spaces, linear functionals, the dual of a Banach space, weak convergence and linear operators.
Many of Riesz's fundamental findings in functional analysis were incorporated with those of Stefan Banach of Poland.
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.
Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonseparable.
Stefan Banach, one of the most influential mathematicians of the 20th century, one of the principal founders of modern functional analysis.
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.
Banach extended Hilbert's ideas considerably.
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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