Distributionally n-Scrambled Set for Weighted Shift Operators
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-017-9359-6
Abstract: The aim of the present paper is to investigate distributionally n-scrambled sets for weighted shift operators. We prove that the unilateral weighted shift operator admits densely invariant distributionally n-ε-scrambled linear manifolds for any ε ∈… read more here.
Keywords: shift; set weighted; shift operators; weighted shift ... See more keywords
The Commutant of Some Shift Operators
Sign Up to like & getrecommendations! Published in 2020 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-020-01015-0
Abstract: We obtain a characterization for the commutant of certain weighted shift operators of higher multiplicity. The characterization is based on the realization of the operator as multiplication by monomials on weighted Bergman spaces of the… read more here.
Keywords: shift; commutant shift; shift operators;
A weak-L∞ inequality for weakly dominated martingales with applications to Haar shift operators
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124547
Abstract: Abstract Let f = ( f n ) n ≥ 0 and g = ( g n ) n ≥ 0 be two real-Hilbert-space-valued martingales such that ( g n ) n ≥ 0 is… read more here.
Keywords: weak inequality; weakly dominated; haar shift; shift operators ... See more keywords
Design of Asymmetric Shift Operators for Efficient Decentralized Subspace Projection
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2021.3066787
Abstract: A large number of applications in decentralized signal processing includes projecting a vector of noisy observations onto a subspace dictated by prior information about the field being monitored. Accomplishing such a task in a centralized… read more here.
Keywords: subspace projection; projection; shift operators; shift ... See more keywords
Chernoff Equivalence for Shift Operators, Generating Coherent States in Quantum Optics
Sign Up to like & getrecommendations! Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218060033
Abstract: In this paper some examples of sequences of compositions of n independent equally distributed random semigroups in the form of a shift operator generating coherent states in quantum optics have been studied. Representation of averaged… read more here.
Keywords: shift; quantum optics; optics; states quantum ... See more keywords