Sentence examples for unilateral shift from inspiring English sources
We also obtain a full description of the structures, modulo the ideal of compact operators, of the C⁎-algebras generated by the unilateral shift Tz and a single linear-fractionally-induced composition operator.
WASHINGTON — In many ways, President Obama's unilateral shift in immigration policy was a bluntly political move, a play for a key voting bloc in the states that will decide whether he gets another term.
(Szeged) 61 (1995) 443 476] that under certain conditions on a contraction T the natural embedding of a Hardy space of vector-valued functions into the corresponding L2 space can be factored into the product of two transformations, intertwining T with a unilateral shift and with an absolutely continuous unitary operator, respectively.
As a consequence we obtain that if the residual set of a contraction covers the whole unit circle then those invariant subspaces, where the restriction is similar to the unilateral shift with a similarity constant arbitrarily close to 1, span the whole space.
As a consequence, it is shown that an analytic multiplication operator on the Bergman space is unitarily equivalent to a weighted unilateral shift of finite multiplicity n if and only if its symbol is a constant multiple of the n-th power of a Möbius transform, which was obtained via the Hardy space theory of the bidisk in Sun et al. (2008) [10].
Consider for example the forward unilateral shift (Uin B(mathcal{H})).
Kérchy, Injection of unilateral shifts into contractions with non-vanishing unitary asymptotes, Acta Sci.
We introduce a class of operators, called λ-Hankel operators, as those that satisfy the operator equation S*X−XS=λX, where S is the unilateral forward shift and λ is a complex number.
If U is the commutant of a strictly cyclic unilateral weighted shift with a monotonically decreasing weight sequence, then we show that there is a natural isomorphism of the Banach space of bounded linear maps from U into B(H) with the Banach space of bounded linear maps of the trace class operators into H, where H is a separable, infinite dimensional Hilbert space.
Example 1.1 Consider the unilateral weighted shift operator as aninfinite-dimensional Hilbert space operator.
Given a bounded sequence of positive numbers, let be the unilateral weighted shift operator on with the canonical orthonormal basis by for all, that is, (1.6).
