Pointwise Convergence Theorems for Self-Adjoint and Unitary Contractions
Duncan, Richard
Ann. Probab., Tome 5 (1977) no. 6, p. 622-626 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Some conditions are introduced which imply pointwise convergence theorems for increasing sequences of orthogonal projections on $L^2(\mu), \mu$ finite, as well as a pointwise ergodic theorem for self-adjoint and unitary contractions. These results generalize to the case of nonpositive operators some theorems of E. M. Stein.
Publié le : 1977-08-14
Classification:  a.e. convergence,  orthogonal projection,  $L^p(\mu)$-contraction,  40A05,  28A20 
@article{1176995773,
     author = {Duncan, Richard},
     title = {Pointwise Convergence Theorems for Self-Adjoint and Unitary Contractions},
     journal = {Ann. Probab.},
     volume = {5},
     number = {6},
     year = {1977},
     pages = { 622-626},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995773}
}

Duncan, Richard. Pointwise Convergence Theorems for Self-Adjoint and Unitary Contractions. Ann. Probab., Tome 5 (1977) no. 6, pp.  622-626. http://gdmltest.u-ga.fr/item/1176995773/