On some classes of Lototsky-Schnabl operators
Abstract
We study a sequence
of positive operators associated with a sequence
of real numbers in the unit interval, a lower triangular stochastic matrix P and a positive projection T acting on the space of all continuous functons defined on a convex compact subset of a locally convex Hausdorff space.These operators are particular cases of the so-called Lototsky-Schnabl operators.Under suitable assumptions on(Error rendering LaTeX formula)( Ln)_{n∈ ℕ}
C0$ - semigroup of positive contractions.
![( L<sub>n</sub>)_{n∈ ℕ}](http://siba-ese.unile.it/plugins/generic/latexRender/cache/07acfc9a40e2a57544c241bcc1da7af1.png)
![(γ<sub>n</sub>)_{n∈ ℕ}](http://siba-ese.unile.it/plugins/generic/latexRender/cache/49dbca0b009ea2825454b396964868d9.png)
![and of its iterates in connection with the existence of a](http://siba-ese.unile.it/plugins/generic/latexRender/cache/b30fb0292087fb0af3bd2ac0393ebfd4.png)
DOI Code:
10.1285/i15900932v12p1
Full Text: PDF