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Banach algebra
(redirected from Banach algebras)

   Also found in: Wikipedia 0.01 sec.
Banach algebra [′bä‚näk ′al·jə·brə]
(mathematics)
An algebra which is a Banach space satisfying the property that for every pair of vectors, the norm of the product of those vectors does not exceed the product of their norms.

(mathematics)Banach algebra - An algebra in which the vector space is a Banach space.


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Remember that a linear function between Banach algebras [phi]: [B.
Russia) presents this text as an introduction to the field, devoting the bulk of it to the classical functional analysis of normed, Banach, and Hilbert spaces, but also covering polynormed spaces and some of their applications, as well as those elements of the theory of Banach algebras important to the study of spectra.
Contents: 1 Measures 2 Construction of measures 3 Measure and topology 4 Continuous linear functionals 5 Duality 6 Bounded operators 7 Banach algebras 8 Hilbert spaces 9 Integral representation 10 Unbounded operators Application I Probability Application II Distributions Bibliography Index For more information visit http://www.
 
 
 
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