Sentence examples for normal operator from inspiring English sources

Let be a normal operator commuting with Then (1.8).

for any x, y ∈ H and N a normal operator.

To X a normal operator bimodule Xn is associated so that completely bounded A,B-bimodule maps from X into normal operator bimodules factorize uniquely through Xn.

end{aligned}Here N is a normal operator and (E_N) is its spectral measure.

In addition, a complete characterization of when one normal operator is in the closed similarity orbit of another normal operator will be given for unital, simple, purely infinite C⁎-algebras and type III factors with separable predual.

This requires a global-in-time study of the dynamics generated by a non normal operator with non constant coefficients.

From an irreducible depth 2 inclusionM0⊂M1ofactorsrs with a faithful semifinite normal operator-valued weight, verifying a regularity condition, we construct the canonical tower (Mi i∈N.

From an irreducible depth 2 inclusion of factors, verifying a regularity condition, we construct a multiplicative unitary, and an action, at every level of the canonical tower constructed from the inclusion; when this inclusion admits a faithful semi-finite normal operator-valued weight, stronger conditions are given, and the tower appears then as a crossed-product construction.

1.9 Functions of normal operators.

homomorphisms and, also, when they are normal operators.

The classes which we study are: finite-rank operators, normal operators, partial isometries, and C0 contractions.