## On operator convergence in Hubert space and in Lebesgue space

- M. A. Akcoglu, L. Sucheston
- Period. Math. Hungar
- 1972

@inproceedings{AKCOGLUl2007ONWA, title={ON WEAK AND STRONG CONVERGENCE OF POSITIVE CONTRACTIONS IN L p SPACES}, author={M. A. AKCOGLUl and L. SUCHESTON}, year={2007} }

- Published 2007

The theorem is already known for p = 1 and for p = 2, even for not necessarily positive contractions ([2], [5]). SKETCH OF PROOF . (i) The implication (B) => (A) is easy and holds in more general situations (cf. [5]). Hence we only prove (A) => (B). (ii) If G is the largest set such that G supports a ^invariant function g, then fGLp(G) implies that TfeLp(G… CONTINUE READING

### Presentations referencing similar topics