Results 71 to 80 of about 877 (187)
Proceedings of the American Mathematical Society, 1957 1. The Banach algebra A. Let L2(S) be the set of all complexvalued measurable functions, on a measure space S, whose magnitudes are square summable. We consider L2(S) as a Hilbert space, and assume the existence of a countable complete orthonormal set {+k} in L2(S), which has the additional property that OkELO(S) nL1(S) for all k.
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On the Cauchy Functional Inequality in Banach Modules
Journal of Inequalities and Applications, 2008 We investigate the following functional inequality: ‖f(x)+f(y)+f(z)‖≤‖f(x+y+z)‖ in Banach modules over a C∗-algebra, and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a C∗-algebra.
Choonkil Park
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The Arens Algebras of Vector-Valued Functions
Journal of Function Spaces, 2014 A class of Arens algebras of vector Banach algebra valued functions is considered. It is shown that Arens algebra of vector-valued functions is complete locally convex metrizable algebra.
I. G. Ganiev, O. I. Egamberdiev
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, 1992 Summary: We introduce a Banach algebra of power series and give two applications, (i) an existence proof for the initial value problem \(w'(z)= f(z,w(z))\), \(w(z_0)= w_0\), and (ii) a proof of the implicit function theorem. These proofs are short, and they use only elementary results about power series, but no theorems on holomorphic functions.
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Involutions on Banach algebras [PDF]
Pacific Journal of Mathematics, 1959 Civin, Paul, Yood, Bertram
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Spectral integration and spectral theory for non-Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2002 Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non-Archimedean fields.
S. Ludkovsky, B. Diarra
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Module amenability for Banach modules
Cubo, 2011 We study the module amenability of Banach modules. This is a natural generalization of Johnson’s amenability of Banach algebras. As an example we show that for a discrete abelian group G, l p(G) is amenable as an l¹(G)-module if and only if G is amenable,
D Ebrahimi Bagha, M Amini
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Ideal Amenability of Banach Algebras and Some Hereditary Properties [PDF]
Journal of Sciences, Islamic Republic of Iran, 2010 Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial.
M. Eshaghi Gordji
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Derivations in Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We present some conditions which imply that a derivation on a Banach algebra maps the algebra into its Jacobson radical.
Kyoo-Hong Park +2 more
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