On contraction semi-groups and (di)-operators

Minoru HASEGAWA

doi:10.2969/jmsj/01830290

Minoru HASEGAWA

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JOURNAL FREE ACCESS

1966 Volume 18 Issue 3 Pages 290-302

DOI https://doi.org/10.2969/jmsj/01830290

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Published: 1966 Received: March 14, 1966 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) N. Dunford and J. T. Schwarz, Linear Operators I, Interscience, New York, 1958.
2) M. Hasegawa, A note on the convergence of semi-groups of operators, Proc. Japan Acad., 40 (1964), 262-266.
3) M. Hasegawa, On the convergence of resolvents of operators, (in preparation).
4) E. Hille and R. S. Phillips, Functional Analysis and Semi-groups, American Mathematical Society, 1957.
5) G. Lumer and R. S. Phillips, Dissipative operators in a Banach space, Pacific J. Math., 11 (1961), 679-698.
6) I. Miyadera, A note on contraction semi-groups of operators, Tohoku Math. J., 11 (1959), 98-105.
7) A. Olubummo, A note on perturbation theory for semi-groups of operators, Proc. Amer. Math. Soc., 16 (1964), 818-822.
8) R.S. Phillips, Semi-groups of positive contraction operators, Czechoslovak Math. J., 12 (87) (1962), 294-313.
9) G. E. H. Reuter, A note on contraction semi-groups, Math. Scand., 3 (1955) 275-280.
10) K, Yosida, Functional Analysis, Springer, Berlin, 1965.

Right : [1] N. Dunford and J. T. Schwarz, Linear Operators I, Interscience, New York, 1958.
[2] M. Hasegawa, A note on the convergence of semi-groups of operators, Proc. Japan Acad., 40 (1964), 262-266.
[3] M. Hasegawa, On the convergence of resolvents of operators, (in preparation).
[4] E. Hille and R. S. Phillips, Functional Analysis and Semi-groups, American Mathematical Society, 1957.
[5] G. Lumer and R. S. Phillips, Dissipative operators in a Banach space, Pacific J. Math., 11 (1961), 679-698.
[6] I. Miyadera, A note on contraction semi-groups of operators, Tôhoku Math. J., 11 (1959), 98-105.
[7] A. Olubummo, A note on perturbation theory for semi-groups of operators, Proc. Amer. Math. Soc., 16 (1964), 818-822.
[8] R. S. Phillips, Semi-groups of positive contraction operators, Czechoslovak Math. J., 12 (87) (1962), 294-313.
[9] G. E. H. Reuter, A note on contraction semi-groups, Math. Scand., 3 (1955) 275-280.
[10] K, Yosida, Functional Analysis, Springer, Berlin, 1965.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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