Bulletin of the American Mathematical Society

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Book Information:

Authors: W. Arendt, A. Grabosch, G. Greiner, U. Groh, H. P. Lotz, U. Moustakas, R. Nagel, F. Neubrander and U. Schlotterbeck
Title: One-parameter semigroups of positive operators
Additional book information: Edited by R. Nagel. Lecture Notes in Mathematics, vol. 1184, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1986, x + 460 pp., $36.30. ISBN 3-540-16454-5.

Charalambos D. Aliprantis and Owen Burkinshaw, Positive operators, Pure and Applied Mathematics, vol. 119, Academic Press, Inc., Orlando, FL, 1985. MR 809372

Edward Brian Davies, One-parameter semigroups, London Mathematical Society Monographs, vol. 15, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1980. MR 591851

Hector O. Fattorini, The Cauchy problem, Encyclopedia of Mathematics and its Applications, vol. 18, Addison-Wesley Publishing Co., Reading, Mass., 1983. With a foreword by Felix E. Browder. MR 692768

Jerome A. Goldstein, Semigroups of linear operators and applications, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1985. MR 790497

Günther Greiner and Rainer Nagel, Growth of cell populations via one-parameter semigroups of positive operators, Mathematics applied to science (New Orleans, La., 1986) Academic Press, Boston, MA, 1988, pp. 79–105. MR 934944

H. J. A. M. Heijmans, Structured populations, linear semigroups and positivity, Math. Z. 191 (1986), no. 4, 599–617. MR 832818, DOI 10.1007/BF01162350

J. A. J. Metz and O. Diekmann (eds.), The dynamics of physiologically structured populations, Lecture Notes in Biomathematics, vol. 68, Springer-Verlag, Berlin, 1986. Papers from the colloquium held in Amsterdam, 1983. MR 860959, DOI 10.1007/978-3-662-13159-6

A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol. 44, Springer-Verlag, New York, 1983. MR 710486, DOI 10.1007/978-1-4612-5561-1

Helmut H. Schaefer, Banach lattices and positive operators, Die Grundlehren der mathematischen Wissenschaften, Band 215, Springer-Verlag, New York-Heidelberg, 1974. MR 0423039

G. F. Webb, Theory of nonlinear age-dependent population dynamics, Monographs and Textbooks in Pure and Applied Mathematics, vol. 89, Marcel Dekker, Inc., New York, 1985. MR 772205

A. C. Zaanen, Riesz spaces. II, North-Holland Mathematical Library, vol. 30, North-Holland Publishing Co., Amsterdam, 1983. MR 704021

1.

C. D. Aliprantis and O. Burkinshaw, Positive operators, Academic Press, New York, 1986. MR 0809372

2.

E. B. Davies, One-parameter semigroups, Academic Press, London-New York, 1980. MR 591851

3.

H. O. Fattorini, The Cauchy problem, Addison-Wesley, Reading, Mass., 1983. MR 692768

4.

J. A. Goldstein, Semigroups of linear operators and applications, Oxford Press, New York-Oxford, 1985. MR 790497

5.

G. Greiner and R. Nagel, Growth of cell populations via one-parameter semigroups of positive operators (to appear). MR 934944

6.

H. J. A. M. Heijmans, Structured populations, linear semigroups, and positivity, Math. Z. 191 (1986), 599-617. MR 832818

7.

J. A. J. Metz and O. Diekmann, The dynamics of physiologically structured populations, Lecture Notes in Biomath., no. 68, Springer-Verlag, Berlin-Heidelberg-New York, 1986. MR 860959

8.

A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, Berlin-Heidelberg-New York, 1983. MR 710486

9.

H. H. Schaefer, Banach lattices and positive operators, Springer-Verlag, Berlin-Heidelberg-New York, 1979. MR 423039

10.

G. F. Webb, Theory of nonlinear age-dependent population dynamics, Marcel Dekker, New York, 1985. MR 772205

11.

A. C. Zaanen, Riesz spaces. II, North-Holland, Gröningen, 1983. MR 704021