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Equivariant geometric convolutions for dynamical systems on vector and tensor images. [PDF]
Philos Trans A Math Phys Eng SciGregory WG +5 more
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Modelling neural probabilistic computation using vector symbolic architectures. [PDF]
Cogn NeurodynFurlong PM, Eliasmith C.
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Triple derivable maps on prime algebras with involution
Communications in Algebra, 2023Let A be a unital prime *-algebra with characteristic not 2 and with a projection . Suppose that is a map satisfying for all , where denotes the symmetric Martindale algebra of quotients of A. It is shown that d is an additive triple derivation. Moreover,
Tzu-Ying Kao, Cheng-Kai Liu
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Localizing algebras and diagonal operators
Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2020The notion of a localizing algebra was introduced by Lomonosov, Radjavi, and Troitsky as a side condition to build invariant subspaces for operators on Banach spaces.
M. Lacruz, L. Rodríguez-Piazza
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On the Representation Theory of Operator Algebras in Hilbert Spaces
Journal of research in applied mathematicsThe representation theory of operator algebras in Hilbert spaces lies at the intersection of functional analysis, abstract algebra, and quantum physics.
Sneha Kumari, P. Kumar
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The structure of triple homomorphisms onto prime algebras
Mathematical Proceedings of the Cambridge Philosophical Society, 2018Triple homomorphisms on C*-algebras and JB*-triples have been studied in the literature. From the viewpoint of associative algebras, we characterise the structure of triple homomorphisms from an arbitrary ⋆-algebra onto a prime *-algebra.
Cheng-Kai Liu
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Convolution factorability of bilinear maps and integral representations
Indagationes mathematicae, 2018In this paper we consider a special class of continuous bilinear operators acting in a product of Banach algebras of integrable functions with convolution product. In the literature, these bilinear operators are called ‘zero product preserving’, and they
E. Erdoğan, Ö. Gök
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Quantized Hilbert modules over local operator algebras and hyperrigidity of local operator systems
Annals of Functional Analysis, 2021Preeti Luthra
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Banach spaces whose algebras of operators have a large group of unitary elements
Mathematical Proceedings of the Cambridge Philosophical Society, 2008J. Guerrero +3 more
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