Some perturbation theorems for nonnegative contraction semigroups

Karl GUSTAFSON; Ken-iti SATO

doi:10.2969/jmsj/02120200

Karl GUSTAFSON, Ken-iti SATO

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1969 Volume 21 Issue 2 Pages 200-204

DOI https://doi.org/10.2969/jmsj/02120200

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Published: 1969 Received: October 29, 1968 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Karl Gustafson, A perturbation lemma, Bull. Amer. Math. Soc., 72 (1966), 334-338.
2) Karl Gustafson, Positive (noncommuting) operator products and semigroups, Math. Zeit., 105 (1968), 160-172.
3) Karl Gustafson and G. Lumer, Multiplicative perturbation of semigroup generators, to appear.
4) Minoru Hasegawa, On contraction semigroups and (di)-operators, J. Math. Soc. Japan, 18 (1966), 290-302.
5) R. S. Phillips, Semigroups of positive contraction operators, Czechoslovak Math. J., 12 (87) (1962), 294-313.
6) Ken-iti Sato, On the generators of non-negative contraction semigroups in Banach lattices, J. Math. Soc. Japan, 20 (1968), 423-436.
7) H. Trotter, On the product of semigroups of operators, Proc. Amer. Math. Soc., 10 (1959), 545-551.

Right : [1] Karl Gustafson, A perturbation lemma, Bull. Amer. Math. Soc., 72 (1966), 334-338.
[2] Karl Gustafson, Positive (noncommuting) operator products and semigroups, Math. Zeit., 105 (1968), 160-172.
[3] Karl Gustafson and G. Lumer, Multiplicative perturbation of semigroup generators, to appear.
[4] Minoru Hasegawa, On contraction semigroups and (di)-operators, J. Math. Soc. Japan, 18 (1966), 290-302.
[5] R. S. Phillips, Semigroups of positive contraction operators, Czechoslovak Math. J., 12 (87) (1962), 294-313.
[6] Ken-iti Sato, On the generators of non-negative contraction semigroups in Banach lattices, J. Math. Soc. Japan, 20 (1968), 423-436.
[7] H. Trotter, On the product of semigroups of operators, Proc. Amer. Math. Soc., 10 (1959), 545-551.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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