On a d -parameter ergodic theorem for continuous semigroups of operators satisfying norm conditions

Shigeru Hasegawa; Ryotaro Sato

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 3, page 453-462
  • ISSN: 0010-2628

Abstract

top
A continuous multiparameter version of Chacon's vector valued ergodic theorem is proved.

How to cite

top

Hasegawa, Shigeru, and Sato, Ryotaro. "On a $d$-parameter ergodic theorem for continuous semigroups of operators satisfying norm conditions." Commentationes Mathematicae Universitatis Carolinae 38.3 (1997): 453-462. <http://eudml.org/doc/248044>.

@article{Hasegawa1997,
abstract = {A continuous multiparameter version of Chacon's vector valued ergodic theorem is proved.},
author = {Hasegawa, Shigeru, Sato, Ryotaro},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {vector valued multiparameter pointwise ergodic theorem; Chacon's ergodic theorem; semigroups of operators; norm conditions; semigroups of operators; pointwise ergodic theorem},
language = {eng},
number = {3},
pages = {453-462},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On a $d$-parameter ergodic theorem for continuous semigroups of operators satisfying norm conditions},
url = {http://eudml.org/doc/248044},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Hasegawa, Shigeru
AU - Sato, Ryotaro
TI - On a $d$-parameter ergodic theorem for continuous semigroups of operators satisfying norm conditions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 3
SP - 453
EP - 462
AB - A continuous multiparameter version of Chacon's vector valued ergodic theorem is proved.
LA - eng
KW - vector valued multiparameter pointwise ergodic theorem; Chacon's ergodic theorem; semigroups of operators; norm conditions; semigroups of operators; pointwise ergodic theorem
UR - http://eudml.org/doc/248044
ER -

References

top
  1. Brunel A., Émilion R., Sur les opérateurs positifs à moyennes bornées, C.R. Acad. Sci. Paris Sér. I Math. 298 (1984), 103-106. (1984) MR0741070
  2. Chacon R.V., An ergodic theorem for operators satisfying norm conditions, J. Math. Mech. 11 (1962), 165-172. (1962) Zbl0115.33804MR0147619
  3. Dunford N., Schwartz J.T., Linear Operators. Part I: General Theory, Interscience, New York, 1958. Zbl0635.47001MR1009162
  4. Hasegawa S., Sato R., On d -parameter pointwise ergodic theorems in L 1 , Proc. Amer. Math. Soc. 123 (1995), 3455-3465. (1995) MR1249881
  5. Hasegawa S., Sato R., Tsurumi S., Vector valued ergodic theorems for a one-parameter semigroup of linear operators, Tôhoku Math. J. 30 (1978), 95-106. (1978) Zbl0377.47008MR0467351
  6. Krengel U., Ergodic Theorems, de Gruyter, Berlin, 1985. Zbl0649.47042MR0797411
  7. Sato R., Vector valued differentiation theorems for multiparameter additive processes in L p spaces, submitted for publication. Zbl0915.47012
  8. Terrell T.R., Local ergodic theorems for n -parameter semigroups of operators, Lecture Notes in Math., vol. 160, Springer, Berlin, 1970, pp.262-278. Zbl0204.45406MR0268357

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.