Results 181 to 190 of about 140,041 (215)

Stonean Hilbert algebra

Journal of Intelligent & Fuzzy Systems, 2015
In this paper, we first introduce the notion of Stonean implicative filter in Hilbert algebra and study it in detail. Finally, we introduce a Stonean Hilbert algebra and investigate its properties, we prove that, H is a Stonean Hilbert algebra if and only if the set of all regular elements of H
Nasab, Ali Soleimani, Borumand Saeid, Arsham   +1 more
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Real Hilbert algebras

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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ISOMORPHISMS OF HILBERT TERNARY ALGEBRAS

Mathematical Proceedings of the Royal Irish Academy, 2011
Let \((V, (\;|\;))\) 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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Hilbert algebras with supremum

Algebra universalis, 2012
The authors consider the properties of Hilbert algebras \(\langle A, \to, \vee, 1 \rangle\) with supremum (simply \(H^{\vee}\)-algebras), that is, (1) \(\langle A,\to, 1 \rangle\) is a Hilbert algebra, (2) \(\langle A, \to, 1 \rangle\) is a join-semilattice with the greatest element \(1\), (3) \(a\to b=1\) iff \(a\vee b = b\) for all \(a,b\in A\), and ...
Celani, Sergio A., Montangie, Daniela
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Traces, bitraces and hilbert algebras

Periodica Mathematica Hungarica, 1991
The 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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Left Hilbert Algebras

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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HILBERT ARENS ALGEBRA-MODULES AND SEMIGROUP

JP Journal of Algebra, Number Theory and Applications, 2017
Summary: 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, 1989
A 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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States on Hilbert Algebras

Studia Logica, 2010
In this paper we develop a theory of Bosbach and Riecan states on non-trivial Hilbert algebras.
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Von Neumann Algebras and Hilbert Quantales

Applied Categorical Structures, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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