Results 81 to 90 of about 297,006 (207)
Differential Equation over Banach Algebra [PDF]
, 2022 In the book, I considered differential equations of order $1$ over Banach $D$\Hyph algebra: differential equation solved with respect to the derivative; exact differential equation; linear homogeneous equation.
Kleyn, Aleks
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A Note on Amenability Modulo an Ideal of Unitial Banach Algebras
Journal of Mathematical Extension, 2015 In this paper we are continuing the study of the concept of amenability modulo an ideal of Banach algebras which is an extension of the usual notion of amenability.
H. R. Rahimi, E. Tahmasebi
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Stability of multipliers on Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2004 Suppose A is a Banach algebra without order. We show that an approximate multiplier T:A→A is an exact multiplier. We also consider an approximate multiplier T on a Banach algebra which need not be without order.
Takeshi Miura +2 more
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Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras
Abstract and Applied Analysis, 2012 This paper is concerned with strictly cyclic functionals of operator algebras on Banach spaces. It is shown that if X is a reflexive Banach space and A is a norm-closed semisimple abelian subalgebra of B(X) with a strictly cyclic functional f∈X∗, then A ...
Quanyuan Chen, Xiaochun Fang
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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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Diagonalization in Banach algebras and Jordan-Banach algebras
, 2023 peerReviewed
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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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