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Bounds on Fluctuations of First Passage Times for Counting Observables in Classical and Quantum Markov Processes. [PDF]
J Stat PhysBakewell-Smith G +3 more
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Generalization of adding angular momenta and circular potential in quaternionic quantum mechanics. [PDF]
HeliyonDeepika R, Muthunagai K.
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Hilbert algebras of fractions and maximal Hilbert algebras of quotients
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Hilbert Algebras with Hilbert–Galois Connections
Studia Logica, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio A. Celani, Daniela Montangie
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Hilbert algebras with supremum
Algebra universalis, 2012The 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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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 +1 more
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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 +1 more
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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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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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