Results 11 to 20 of about 15,515 (151)

Rank one operators and bimodules of reflexive operator algebras in Banach spaces

Journal of Mathematical Analysis and Applications, 1991
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openaire   +3 more sources

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

Reflexive operator algebras on non-commutative hardy spaces

Mathematische Annalen, 1980
openaire   +4 more sources

Maximal left ideals of the Banach algebra of bounded operators on a Banach space [PDF]

, 2013
We address the following two questions regarding the maximal left ideals of the Banach algebra $\mathscr{B}(E)$ of bounded operators acting on an infinite-dimensional Banach pace $E$: (Q1) Does $\mathscr{B}(E)$ always contain a maximal left ideal which
Dales, H. G., Kania, Tomasz, Kochanek, Tomasz, Koszmider, Piotr, Laustsen, Niels Jakob   +4 more
core   +2 more sources

Differential operators and Cherednik algebras [PDF]

, 2007
We establish a link between two geometric approaches to the representation theory of rational Cherednik algebras of type A: one based on a noncommutative Proj construction, used in [GS]; the other involving quantum hamiltonian reduction of an algebra of ...
Ginzburg, V., Gordon, I., Stafford, J. T.   +2 more
core   +4 more sources

Reflexivity of the translation-dilation algebras on L^2(R)

, 2003
The hyperbolic algebra A_h, studied recently by Katavolos and Power, is the weak star closed operator algebra on L^2(R) generated by H^\infty(R), as multiplication operators, and by the dilation operators V_t, t \geq 0, given by V_t f(x) = e^{t/2} f(e^t ...
Davidson K. R., Katavolos A., R. H. LEVENE, S. C. POWER, Sarason D.   +4 more
core   +1 more source

A note on rank-one operators in reflexive algebras [PDF]

Proceedings of the American Mathematical Society, 1983
It is shown that if the invariant subspace lattice of a reflexive algebra A \mathcal {A} , acting on a separable Hilbert space, is both commutative and completely distributive, then the algebra generated by the rank-one operators of A \mathcal {A} is dense in A \mathcal
Laurie, Cecelia, Longstaff, W. E.
openaire   +3 more sources

Some Results on Fixed Point Theorems in Banach Algebras

International Journal of Analysis and Applications, 2017
Let X be a Banach algebra and D be a nonempty subset of X. Let (T 1, T 2) be a pair of self mappings on D satisfying some specific conditions. Here we discuss different situations for existence of solution of the operator equation u = T 1 uT 2 u in D ...
Dipankar Das, Nilakshi Goswami, Vishnu Narayan Mishra   +2 more
doaj   +2 more sources

Tensor products of subspace lattices and rank one density

, 2012
We show that, if $M$ is a subspace lattice with the property that the rank one subspace of its operator algebra is weak* dense, $L$ is a commutative subspace lattice and $P$ is the lattice of all projections on a separable infinite dimensional Hilbert ...
A. Hopenwasser, A. Katavolos, D.R. Larson, I. G. Todorov, I.G. Todorov, J. Kraus, J.B. Conway, K.J. Harrison, M. Papadakis, P.R. Halmos, P.R. Halmos, S. Papapanayides, V.S. Shulman, V.S. Shulman, W. Arveson, W.E. Longstaff, W.E. Longstaff   +16 more
core   +1 more source

Operator algebras from the discrete Heisenberg semigroup

, 2010
We study reflexivity and structure properties of operator algebras generated by representations of the discrete Heisenberg semi-group. We show that the left regular representation of this semi-group gives rise to a semi-simple reflexive algebra.
A. Katavolos, Conway, Davidson, I. G. Todorov, Kakariadis, Katavolos, Kraus, Loginov, M. Anoussis, Popescu, Ptak, Tomiyama   +11 more
core   +1 more source