Sentence examples for the backward shift from inspiring English sources

We discuss to what extent these results characterize the Toeplitz operators via invariant subspaces for the backward shift.

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).

Such kernels are special cases of so-called nearly invariant subspaces with respect to the backward shift, for which Hitt proved that when p=2, extremal functions act as isometric divisors.

To the extent that there is a limit to this cost shift – e.g., for low-wage or unionized employees — the backward shift takes the form of reduced employment or, alternatively, the employer's decision not to offer employees health insurance at all.

In the short term the backward shifting process is lower as well ((-0.51 = -0.85 + 0.34)).

Functional differences in the backward shifts of CA1 and CA3 place fields in novel and familiar environments.

Furthermore, in the backward shifted OT KO mice, two mice died due to failed labor.

The commonly known Direct Form I, Direct Form II, and Transposed Direct Form II structures are shown in Fig. 1, where z −1 is defined as the backward-shift operator, that is, a unit delay.

The occurring Toeplitz matrices are so-called model matrices, i.e. matrix representations of the compressed backward shift operator on the Hardy space H2 to a finite-dimensional invariant subspace.