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Banach algebra
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Part 1 of ebook "Spectral theory and quantum mechanics: Mathematical foundations of quantum theories, symmetries and introduction to the algebraic formulation" provides readers with content including: introduction and mathematical backgrounds; normed and banach spaces, examples and applications; Hilbert spaces and bounded operators; families of compact operators on Hilbert spaces and fundamental properties; densely-defined unbounded operators on Hilbert spaces;...
410p
lytamnguyet
04-08-2023
5
3
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Part 1 of ebook "Tensor spaces and numerical tensor calculus" provides readers with content including: algebraic tensors; matrix tools; algebraic foundations of tensor spaces; functional analysis of tensor spaces; banach tensor spaces; general techniques; minimal subspaces;...
221p
lytamnguyet
04-08-2023
4
3
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This paper is devoted to hyperstonean spaces that are precisely the Stone spaces of measure algebras, or the Stone spaces of the Boolean algebras of Lp-projections of Banach spaces for 1 ≤ p < ∞, p ̸= 2. Several new results that have been achieved recently are discussed.
8p
nutifooddau
21-01-2019
13
2
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In this paper, we will prove some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC–Banach algebra. Our results improve and correct some recent results given by Banas and Taoudi, and extend several earlier works using the condition (P).
9p
danhdanh27
07-01-2019
25
1
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Many properties of two-sided algebras remain valid for one-sided algebras. Namely, any one sided Banach algebra is commutative modulo its Jacobson radical. In the case of normed algebras, the one-sidedness is not inherited by a sub-algebra, nor by the completion of a normed algebra.
12p
tuongvidanh
06-01-2019
14
1
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In this article we generalized some properties of Banach algebras, to a new class of topological algebras namely fundamental and fundamental locally multiplicative topological algebras (abbreviated by F LM ). Also the new notion of sub-multiplicatively metrizable topological algebra is given and some well known spectral properties of Banach algebras are generalized to such kind of algebras.
7p
tuongvidanh
06-01-2019
30
1
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If G is a locally compact group, then for each derivation D from L1 (G) into L1 (G) there is a bounded measure μ ∈ M (G) with D(a) = a ∗ μ − μ ∗ a for a ∈ L1 (G) (“derivation problem” of B. E. Johnson). Introduction Let A be a Banach algebra, E an A-bimodule. A linear mapping D : A → E is called a derivation, if D(a b) = a D(b) + D(a) b for all a, b ∈ A ([D, Def. 1.8.1]). For x ∈ E, we define the inner derivation adx :...
27p
dontetvui
17-01-2013
43
7
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras
15p
sting10
07-03-2012
34
3
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Research Article Approximately n-Jordan Homomorphisms on Banach Algebras
8p
dauphong17
22-02-2012
28
3
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Stability of Homomorphisms and Generalized Derivations on Banach Algebras
12p
dauphong17
22-02-2012
36
2
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Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID 562923, 16 pages doi:10.1155/2011/562923 Research Article ¨ Bessel and Gruss Type Inequalities in Inner Product Modules over Banach ∗-Algebras A. G. Ghazanfari1 and S. S. Dragomir2, 3 1 2 Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Iran School of Engineering and Science, Victoria University, P.O.
16p
dauphong13
09-02-2012
48
4
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