Remarks on linear m-accretive operators in a Hilbert space

Noboru OKAZAWA

doi:10.2969/jmsj/02710160

Noboru OKAZAWA

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JOURNAL FREE ACCESS

1975 Volume 27 Issue 1 Pages 160-165

DOI https://doi.org/10.2969/jmsj/02710160

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Published: 1975 Received: March 29, 1974 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Brezis, M. G. Crandall and A. Pazy, Perturbations of nonlinear maximal monotone sets in Banach space, Comm. Pure Appl. Math., 23 (1970), 123-144.
2) J. de Graaf, A constructive approach to one-parameter semi-groups of operators in Hilbert space, Arch. Rational Mech. Anal., 43 (1971), 125-153.
3) T. Kato, Fractional powers of dissipative operators, J. Math. Soc. Japan, 13 (1961), 246-274.
4) T. Kato, Perturbation Theory for Linear Operators, Die Grundlehren der math. Wissenschaften, Band 132, Springer-Verlag, Berlin and New York, 1966.
5) S. G. Krein, Linear Differential Equations in Banach Space, Nauka, Moscow, 1967 (Russian); English Translation, Transl. Math. Monographs, vol. 29, Amer. Math. Soc., Providence, R. I., 1972.
6) N. Okazawa, Two perturbation theorems for contraction semigroups in a Hilbert space, Proc. Japan Acad., 45 (1969), 850-853.
7) N. Okazawa, A perturbation theorem for linear contraction semigroups on reflexive Banach spaces, Proc. Japan Acad., 47 (1971), 947-949.
8) N. Okazawa, Perturbations of linear m-accretive operators, Proc. Amer. Math. Soc., 37 (1973), 169-174.
9) K. Yosida, Functional Analysis, 3rd ed., Die Grundlehren der math. Wissenschaften, Band 123, Springer-Verlag, Berlin and New York, 1971.

Right : [1] H. Brezis, M. G. Crandall and A. Pazy, Perturbations of nonlinear maximal monotone sets in Banach space, Comm. Pure Appl. Math., 23 (1970), 123-144.
[2] J. de Graaf, A constructive approach to one-parameter semi-groups of operators in Hilbert space, Arch. Rational Mech. Anal., 43 (1971), 125-153.
[3] T. Kato, Fractional powers of dissipative operators, J. Math. Soc. Japan, 13 (1961), 246-274.
[4] T. Kato, Perturbation Theory for Linear Operators, Die Grundlehren der math. Wissenschaften, Band 132, Springer-Verlag, Berlin and New York, 1966.
[5] S. G. Krein, Linear Differential Equations in Banach Space, Nauka, Moscow, 1967 (Russian); English Translation, Transl. Math. Monographs, vol. 29, Amer. Math. Soc., Providence, R. I., 1972.
[6] N. Okazawa, Two perturbation theorems for contraction semigroups in a Hilbert space, Proc. Japan Acad., 45 (1969), 850-853.
[7] N. Okazawa, A perturbation theorem for linear contraction semigroups on reflexive Banach spaces, Proc. Japan Acad., 47 (1971), 947-949.
[8] N. Okazawa, Perturbations of linear m-accretive operators, Proc. Amer. Math. Soc., 37 (1973), 169-174.
[9] K. Yosida, Functional Analysis, 3rd ed., Die Grundlehren der math. Wissenschaften, Band 123, Springer-Verlag, Berlin and New York, 1971.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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