Results 191 to 200 of about 893,091 (234)
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Variations of the free implicative semilattice extension of a Hilbert algebra
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2018Celani and Jansana (Math Log Q 58(3):188–207, 2012) give an explicit description of the free implicative semilattice extension of a Hilbert algebra. In this paper, we give an alternative path conducing to this construction.
J. L. Castiglioni, H. J. S. Martín
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An Introduction to Functional Analysis, 2020
Our previous discussions have been concerned with algebra. The representation of systems (quantities and their interrelations) by abstract symbols has forced us to distill out the most significant and fundamental properties of these systems. We have been
Ryan Corning
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Our previous discussions have been concerned with algebra. The representation of systems (quantities and their interrelations) by abstract symbols has forced us to distill out the most significant and fundamental properties of these systems. We have been
Ryan Corning
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, 1999
:This paper gives a complete selfcontained proof of our result announced in [6] showing that renormalization in quantum field theory is a special instance of a general mathematical procedure of extraction of finite values based on the Riemann–Hilbert ...
A. Connes, D. Kreimer
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:This paper gives a complete selfcontained proof of our result announced in [6] showing that renormalization in quantum field theory is a special instance of a general mathematical procedure of extraction of finite values based on the Riemann–Hilbert ...
A. Connes, D. Kreimer
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Mathematical Notes of the Academy of Sciences of the USSR, 1985
For certain non-associative real Banach algebras the author obtains a Gelfand-Mazur type theorem (each division algebra of the considered class is isomorphic to either of \({\mathbb{R}}\), \({\mathbb{C}}\), \({\mathbb{H}}\) (the quaternions), \({\mathbb{D}}\) (the Kelley numbers)), and in the commutative case a Shilov type theorem (in the considered ...
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For certain non-associative real Banach algebras the author obtains a Gelfand-Mazur type theorem (each division algebra of the considered class is isomorphic to either of \({\mathbb{R}}\), \({\mathbb{C}}\), \({\mathbb{H}}\) (the quaternions), \({\mathbb{D}}\) (the Kelley numbers)), and in the commutative case a Shilov type theorem (in the considered ...
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Fuzzy filters of Sheffer stroke Hilbert algebras
Journal of Intelligent & Fuzzy Systems, 2020The aim of this study is to introduce fuzzy filters of Sheffer stroke Hilbert algebra. After defining fuzzy filters of Sheffer stroke Hilbert algebra, it is shown that a quotient structure of this algebra is described by its fuzzy filter.
T. Oner, T. Katican, A. Saeid
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ISOMORPHISMS OF HILBERT TERNARY ALGEBRAS
Mathematical Proceedings of the Royal Irish Academy, 2011Let \((V, (\;|\;))\) be a real Hilbert space with a trilinear map \([\;,\;,\;]: V\times \times V \times V \to V\) satisfying \(([x,y,z] \mid u) = (x \mid [u,z,y]) = (z\mid [y,x,u])\) and \([x, y, [z, w, u] ] = [[x,y,z], w, u]\) for all \(x, y, z, u, w\in V\).
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Traces, bitraces and hilbert algebras
Periodica Mathematica Hungarica, 1991The author shows that a *-algebra \(A\) has a non-trivial trace if there is a *-homomorphism of \(A\) onto a non-zero Hilbert algebra \(K\), and conversely a non-trivial trace on a normed *-algebra \(A\) satisfying \(A^ 2\) is dense in \(A\) gives rise to a non-zero *-homomorphism of \(A\) onto a Hilbert algebra.
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2003
This chapter is devoted to the foundation of non-commutative integration theory. In the first volume of this book, we have seen the strong similarity between the theory of operator algebras and the integration theory. To explore this similarity further, it is necessary to work on the theory of left Hilbert algebras.
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This chapter is devoted to the foundation of non-commutative integration theory. In the first volume of this book, we have seen the strong similarity between the theory of operator algebras and the integration theory. To explore this similarity further, it is necessary to work on the theory of left Hilbert algebras.
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HILBERT ARENS ALGEBRA-MODULES AND SEMIGROUP
JP Journal of Algebra, Number Theory and Applications, 2017Summary: In this paper, we consider the semigroup of Hilbert Arens algebra-modules by using the semigroup theory and Hilbert Arens algebra-modules from [\textit{S. Cerreia-Vioglio} et al., J. Math. Anal. Appl. 446, No. 1, 970--1017 (2017; Zbl 1364.46044)]. We show when \(A\) is a finite dimensional Arens algebra and \(H\) is a Hilbert \(A\)-module, the
Tao, Jicheng, Ai, Ying
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Unbounded partial Hilbert algebras
Journal of Mathematical Physics, 1989A notion of an unbounded partial Hilbert algebra is introduced and some properties and examples of such an algebra are furnished. Noncommutative versions of Arens Lω spaces over partial Hilbert algebras are formulated and shown to be unbounded partial Hilbert algebras. Moreover, necessary and sufficient conditions for the Lω spaces to be pure unbounded
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