Sentence examples for backward shift. from inspiring English sources
To solve this problem, a novel model of NUSD systems is proposed by introducing a time-varying backward shift operator.
We discuss to what extent these results characterize the Toeplitz operators via invariant subspaces for the backward shift.
Finally, we describe all backward shift invariant subspaces which are in the kernels of Toeplitz operators with homogeneous type symbols.
We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces Hp:.
We prove that ℓ2 contains vectors which are hypercyclic simultaneously for all multiples of the backward shift operator by constants of absolute value greater than 1.
The Aleksandrov Clark measures on the circle are replaced by a family of states on a certain noncommutative operator system, and the backward shift is replaced by a canonical solution to the Gleason problem in H(b).
We also include applications to some weighted backward shifts and compact perturbations of the identity by weighted backward shifts.
We study a class of Banach space operators patterned after the weighted backward shifts on Hilbert space, and show that any non-scalar operator in the commutant of one of these "generalized backward shifts" has a dense, invariant linear manifold whose non-zero members are cyclic vectors.
Using these results we obtain new information on the invariant subspace lattices of shifts and backward shifts on a wide class of Banach spaces of analytic functions on the unit disc.
Main Outcome Measures: Several basic aspects of individual foot function were evaluated: (1) forward and backward shifting (FBS) of a foot panel; (2) lateral shifting (LS) of a foot panel; (3) alternately touching 2 bells (TB); and (4) depressing a pedal (DP).
We extend the basic elements of Clark's theory of rank-one perturbations of backward shifts, to row-contractive operators associated to de Branges Rovnyak type spaces H(b) contrastively contained in the Drury Arveson space on the unit ball in Cd.
