Semigroups in an ordered Banach space

Bruce D. CALVERT

doi:10.2969/jmsj/02320311

Bruce D. CALVERT

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ジャーナルフリー

1971 年 23 巻 2 号 p. 311-319

DOI https://doi.org/10.2969/jmsj/02320311

詳細

Published: 1971 Received: 1970/05/06 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] F. Browder, Nonlinear operators and nonlinear equations of evolution, Proc. Symp. on Nonlinear Functional Analysis, 1968, to appear.
[2] B. Calvert, Nonlinear equations of evolution, to appear.
[3] B. Calvert, Nonlinear evolution equations in Banach lattices, to appear in Bull. Amer. Math. Soc.
[4] D. F. Cudia, The geometry of Banach spaces, Smoothness, Trans. Amer. Math. Soc., 110 (1964), 284-314.
[5] J. R. Dorroh, A class of nonlinear evolution equations in a Banach space, to appear in Trans. Amer. Math. Soc.
[6] K. Gustafson, Doubling perturbation sizes and preservation of operator indices in normed linear spaces, Proc. Cambridge Philos. Soc., 66 (1969), 281-294.
[7] M. Hasegawa, On contraction semigroup and (di) operators, J. Math. Soc. Japan, 18 (1966), 290-302.
[8] H. Keller and D. Cohen, Some positone problems suggested by nonlinear heat generation, J. Math. Mech., 16 (1967), 1361-1376.
[9] M. Krasnoselskii, Positive Solutions of Operator Equations, P. Noordhoff, Groningen, 1964.
[10] G. Lumer and R. S. Phillips, Dissipative operators in a Banach space, Pacific J. Math., 11 (1961), 679-698.
[11] A. Olubummo, Monotone semigroups of bounded operators, J. Math. Mech., 12 (1963), 385-390.
[12] R. Phillips, Semi-groups of positive contraction operators, Czechoslovak Math. J., 12 (1962), 294-313.
[13] R. Rockafeller, Convex functions, monotone operators and variational inequalities, Proceedings of NATO Institute, 1968, on Theory and Applications of Monotone Operators.
[14] K. Sato, On the generators of non-negative contraction semigroups in Banach lattices, J. Math. Soc. Japan, 20 (1968), 424-436.
[15] K. Sato, On dispersive operators in Banach lattices, Pacific J. Math., to appear.
[16] K. Sato, Positive pseudoresolvents in Banach lattices, J. Fac. Sci. Univ. Tokyo, to appear.
[17] K. Sato and K. Gustafson, Some perturbation theorems for non-negative contraction semigroups, J. Math. Soc. Japan, 21 (1969), 200-204.
[18] H. Schaefer, Topological Vector Spaces, MacMillan, New York, 1966.
[19] K. Yosida, Functional Analysis, Academic Press, New York, 1965.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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