Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alexits G., Convergence problems of orthogonal series, Pergamon Press, New York-Oxford-Paris 1961.
Bratteli, O. & Robinson, D.W., Operator algebras and quantum statistical mechanics I & II, Springer, New York-Heidelberg-Berlin 1979.
Gaposhkin, W.I., Individual ergodic theorem for normal operators in L2, Funkt. Anal. Priloz 15 (1981), 18–22.
Hensz, E. & Jajte, R., Pointwise convergence theorems in L2 over a von Neumann algebra, M.Z. 193 (1986), 413–429.
Jajte, R., Strong limit theorems in non-commutative probability, Lect. Notes in Math. No 1110, Springer, Berlin-Heidelberg-New York 1985.
Jajte, R., On the existence of the ergodic Hilbert transform, Ann. Probab. 15 (1987), 831–835.
Takesaki, M., Theory of operator algebras I, Springer, Berlin-Heidelberg-New York 1979.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Jajte, R. (1989). Asymptotic formula for normal operators in non-commutative L2-spaces. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications IV. Lecture Notes in Mathematics, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083557
Download citation
DOI: https://doi.org/10.1007/BFb0083557
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51613-2
Online ISBN: 978-3-540-46713-7
eBook Packages: Springer Book Archive