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Available in print format 		Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): J.~A.~Baars and J.~A.~M.~de~Groot
Title: On topological and linear equivalence of certain function spaces
Additional book information: CWI Tract {86}, Centrum Wisk. Inform., Amsterdam, 1992, 201 pp., DFL 60.00. ISBN 90 6196 411 3

References:

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-, A survey of $ {C_p}$-theory, Questions Answers Gen. Topology 5 (1987), 1-109. MR 909494 (89c:54031)

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K.-D. Bierstedt, J. Bonet, and J. Schmets, (DF)-spaces of type $ CB(X,E)$ and $ \overline{CV}({X,E})$, Note Mat. X Suppl. 1 (1990), 127-148. MR 1193519 (93k:46024)

[4]
C. Bessaga and A. Pelczynski, Selected topics in infinite-dimensional topology, Monograf. Mat., vol. 58, PWN, Warszawa, 1975. MR 0478168 (57:17657)

[5]
R. Cauty, T. Dobrowolski, and W. Marciszewski, A contribution to the topological classification of the spaces $ {C_p}(X)$, Fund. Math. 142 (1993), 269-301. MR 1220554 (94h:57034)

[6]
L. Gilman and M. Jerison, Rings of continuous functions, Univ. Ser. Math., Van Nostrand, Princeton, NJ, 1960; 2nd ed., 1976. MR 0116199 (22:6994)

[7]
J. A. Guthrie, Ascoli theorems and the pseudocharacter of mapping spaces, Bull. Austral. Math. Soc. 10 (1974), 403-408. MR 0346733 (49:11458)

[8]
S. V. Kislyakov, Classification of spaces of continuous functions of ordinals, Siberian Math. J. 16 (1975), 226-231.

[9]
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[10]
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[11]
M. A. Naimark, Normed rings, Noordhoff, Groningen, 1959. MR 0355601 (50:8075)

[12]
V. G. Pestov, The coincidence of the dimension dim of l-equivalent topological spaces, Soviet Math. Dokl. 26 (1982), 380-383. MR 672382 (84a:54068)

[13]
J. Schmets, Espaces de fonctions continues, Lecture Notes in Math., vol. 519, Springer, Berlin, 1976. MR 0423058 (54:11041)

[14]
-, Spaces of vector-valued continuous functions, Lecture Notes in Math., vol. 1003, Springer, Berlin, 1983.

[15]
Z. Semadeni, Banach spaces of continuous functions, Monograf. Mat., vol. 55, PWN, Warszawa, 1971.

[16]
T. Shirota, On locally convex vector spaces of continuous functions, Proc. Japan Acad. 30 (1954), 294-298. MR 0064389 (16:275d)

[17]
S. Warner, The topology of compact convergence on continuous function spaces, Duke Math. J. 25 (1958), 265-282. MR 0102735 (21:1521)

Additional Information:

Reviewer(s):
J. Schmets

Review Information:
Journal: Bull. Amer. Math. Soc. 30 (1994), 315-318.
DOI: 10.1090/S0273-0979-1994-00477-X
PII: S 0273-0979(1994)00477-X




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