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On the Hilbert Evolution Algebras of a Graph
Siberian Mathematical Journal, 2022A separable Hilbert evolution algebra is a separable Hilbert space \(\mathcal{A}\) endowed with an algebra structure so that there exists an orthonormal basis \(\{e_i\}_{i\in\mathbb{N}}\) such that \begin{itemize} \item[i)] \(e_ie_i=\sum_{k\in\mathbb{N}}c_{ki}e_k\), for some scalars \(\{c_{ik}\}_{k\in\mathbb{N}}\), and \(e_ie_j=0\), for all \(i,j\in ...
Vidal, S. J. +2 more
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On Hilbert algebras generated by the order
Archive for Mathematical Logic, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José L. Castiglioni +2 more
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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
J. Muscat
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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
J. Muscat
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Studia Logica, 2010
In this paper we develop a theory of Bosbach and Riecan states on non-trivial Hilbert algebras.
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In this paper we develop a theory of Bosbach and Riecan states on non-trivial Hilbert algebras.
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On prelinear Hilbert algebras with successor
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Luis Castiglioni +1 more
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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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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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A NOTE ON HILBERT TERNARY ALGEBRAS
Asian-European Journal of Mathematics, 2009We show that every simple abelian real Hilbert ternary algebra is isomorphic to the algebra of Hilbert-Schmidt operators between two real, complex or quaternionic Hilbert spaces, up to a positive multiple of the inner product.
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Hilbert algebras of fractions and maximal Hilbert algebras of quotients
Kobe Journal of Mathematics, 1988Let (A,\(\to,1)\) be a bounded Hilbert algebra. Set \(x\vee y=x^*\to y\), where \(x^*=x\to 0\). A Hilbert algebra \(A'\) is called a Hilbert algebra of fractions of A, written \(A\leq A'\), iff A is a Hilbert subalgebra of \(A'\) and for every \(a',b',c'\in A'\), \(a'\neq b'\), there exists \(a\in A\) such that \(a\vee a'\neq a\vee b'\) and \(a\vee c ...
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On the Hilbert Series of Koszul Algebras
Functional Analysis and Its Applications, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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