Sentence examples for be a positive operator from inspiring English sources

Let T be a positive operator.

Let A be a positive operator in a Banach space E.

Let be a positive operator in and let be any unit vector.

Let A be a positive operator on (mathcal {H}) and (x in mathcal {H}) a unit vector.

Let A be a positive operator in a Banach space E and f ∈ C ( [ 0, T ], E α ′ ) ( 0 < α < 1 ).

Let A be a positive operator in a Banach space E and (fin C [0,T],E_{alpha }^{prime })), (0

(2.1) Moreover, this map preserves positivity when the multiplier is a positive operator.

The resulting integral is a positive operator since each (A_{t}) is positive and each (Phi_{t}) preserves positivity.

If and is a positive operator on, then (2.12).

Finally, we show that (mathcal{T}) is a positive operator.

It follows that has a bounded inverse operator, which is a positive operator when is a positive semigroup.