Results 11 to 20 of about 84,308,281 (122)
Structure theory for noncommutative Jordan H∗-algebras
Journal of Algebra, 1987 The theory of associative Hilbert algebras as developed in [\textit{W. Ambrose}, Trans. Am. Math. Soc. 57, 364-386 (1945; Zbl 0060.269)] has been extended to various classes of nonassociative algebras, among them Jordan algebras, cf. [\textit{C. Viola Devapakkiam}, Math. Proc. Camb. Philos. Soc. 78, 293-300 (1975; Zbl 0357.17015) and with \textit{P. S.
Mira, JoséAntonio Cuenca +1 more
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Structure Theory for Real Noncommutative Jordan H*-Algebras
Journal of Algebra, 1994 An \(H^*\)-algebra is an algebra defined on a real or complex Hilbert space, with inner product \((\cdot|\cdot)\), together with an involution \(*\) such that \((xy| z)= (y| x^* z)=(x| zy^*)\). This paper is devoted to the study of the real noncommutative Jordan \(H^*\)-algebras. The complex case was dealt with by \textit{J. A.
Mira, J.A.C., Sanchez, A.S.
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STRUCTURE THEORY FOR A CLASS OF JORDAN ALGEBRAS [PDF]
Proceedings of the National Academy of Sciences, 1966 N Jacobson
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How dynamics constrains probabilities in general probabilistic theories [PDF]
Quantum, 2021 We introduce a general framework for analysing general probabilistic theories, which emphasises the distinction between the dynamical and probabilistic structures of a system.
Thomas D. Galley, Lluis Masanes
doaj +1 more source
Ternary structures in Hilbert spaces [PDF]
, 2011 PhDTernary structures in Hilbert spaces arose in the study of in nite dimensional manifolds in di erential geometry. In this thesis, we develop a structure theory of Hilbert ternary algebras and Jordan Hilbert triples which are Hilbert spaces equipped
Bahmani, Fatemeh
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Linear maps on real C* - algebras and related structures [PDF]
, 2010 PhDIn this thesis we obtain new results on the structures of real C*-algebras and nonsurjective isometries between them. Some of the results have been published in [1].
Apazoglou, Maria
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An Introduction to Predictive Processing Models of Perception and Decision‐Making
Topics in Cognitive Science, EarlyView., 2023 Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley +1 more source
Pure Maps between Euclidean Jordan Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems.
Abraham Westerbaan +2 more
doaj +1 more source
Models of the universe based on Jordan algebras
Nuclear Physics B, 2020 We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra.
J. Ambjørn, Y. Watabiki
doaj +1 more source
Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
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