Some classes of semi-groups of nonlinear transformations and their generators
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フリー
1968 年 20 巻 3 号 p. 437-455
詳細
- Published: 1968 Received: 1967/03/16 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) F. E. Browder, Non-linear initial value problems, Ann. of Math., 80 (1964), 485-523.2 ) J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. 10, Academic Press, New York, 1960.
2 ) J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. 10, Academic Press, New York, 1960.
3) J. R. Dorroh, Semi-groups of nonlinear transformations, Michigan Math. J., 12 (1965), 317-320.
4) N. Dunford and J. Schwartz, Linear operators, part I, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, New York, 1958.
5) E. Hille and R. S. Phillips, Functional analysis and semi-groups, revised ed., Amer. Math. Soc. Colloquium Publications, Vol. 39, 1957.
6) T. Kato, Nonlinear semi-groups and evolution equations, J. Math. Soc. Japan, 19 (1967), 508-520.
7) H. Komatsu, Semi-groups of operators in locally convex spaces, J. Math. Soc. Japan, 16 (1964), 230-262.
8) Y. Komura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
9) J. Neuberger, An exponential formula for one-parameter semi-groups of nonlinear transformations, J. Math. Soc. Japan, 18 (1966), 154-157.
10) S. Oharu, Note on the representation of semi-groups of non-linear operators, Proc. Japan Acad., 42 (1966), 1149-1154.
11) W. Orlicz, Linear operations in Saks spaces (I), Studia Math., 11 (1950), 237-272.
12) Irving Segal, Non-linear semi-groups, Ann. of Math., 78 (1963), 339-362.
13) K. Yosida, Functional analysis, Die Grundlehren der Math. Wiss., Vol. 123, Springer-Verlag, Berlin, 1965.
Right : [1] F. E. Browder, Non-linear initial value problems, Ann. of Math., 80 (1964), 485-523.
[2] J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. 10, Academic Press, New York, 1960.
[3] J. R. Dorroh, Semi-groups of nonlinear transformations, Michigan Math. J., 12 (1965), 317-320.
[4] N. Dunford and J. Schwartz, Linear operators, part I, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, New York, 1958.
[5] E. Hille and R. S. Phillips, Functional analysis and semi-groups, revised ed., Amer. Math. Soc. Colloquium Publications, Vol. 39, 1957.
[6] T. Kato, Nonlinear semi-groups and evolution equations, J. Math. Soc. Japan, 19 (1967), 508-520.
[7] H. Komatsu, Semi-groups of operators in locally convex spaces, J. Math. Soc. Japan, 16 (1964), 230-262.
[8] Y. Komura, Nonlinear semi-groups in Hilbert space, J. Math. Soc. Japan, 19 (1967), 493-507.
[9] J. Neuberger, An exponential formula for one-parameter semi-groups of nonlinear transformations, J. Math. Soc. Japan, 18 (1966), 154-157.
[10] S. Oharu, Note on the representation of semi-groups of non-linear operators, Proc. Japan Acad., 42 (1966), 1149-1154.
[11] W. Orlicz, Linear operations in Saks spaces (I), Studia Math., 11 (1950), 237-272.
[12] Irving Segal, Non-linear semi-groups, Ann. of Math., 78 (1963), 339-362.
[13] K. Yosida, Functional analysis, Die Grundlehren der Math. Wiss., Vol. 123, Springer-Verlag, Berlin, 1965.
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