Complex symmetric partial isometries
Abstract
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No abstract recorded for this item.
and Applied Analysis 3 The left multiplication by a ∈ A is the mapping La : A → A, which is defined as La x ax for all x ∈ A. Observe that, for a, b ∈ A, Lab LaLb and that La Lb implies a b. If a ∈ A is both Moore-Penrose and group invertible, then La† La † and La# La # in the Ba
Under the mild condition of continuity at a single point we describe all the bijections of the set of all partial isometries on a Hilbert space which preserve the order and the orthogonality in both directions. Moreover, we present a natural analogue of Wigner’s theorem on quantu
A universal C∗-algebra is constructed which is generated by a partial isometry. Using grading on this algebra we construct an analog of Cuntz algebras which gives a homotopical interpretation of KK-groups. It is proved that this algebra is homotopy equivalent up to stabilization
We give and prove an optimal exact quantum query algorithm with complexity k+ 1 for computing the promise problem (i.e., symmetric and partial Boolean function) DJ n defined as: DJ k n(x) = 1 for |x| = n/2, DJ n(x) = 0 for |x| in the set {0, 1, . . . , k, n − k, n − k + 1, . . .
We prove the equivalence of the two important facts about finite metric spaces and universal Urysohn metric spaces U, namely theorem A and theorem B below: Theorem A (Approximation): The group of isometry ISO(U) contains everywhere dense locally finite subgroup; Theorem G(Globali
A collection of partial isometries whose range and initial projections satisfy a specified set of conditions often gives rise to a partial representation of a group. The Calgebra generated by the partial isometries is thus a quotient of the universal C-algebra for partial represe