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Book Review
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Book Information
Author(s):
Peter D. Lax
Title:
Functional analysis
Additional book information:
Wiley-Interscience,
New York,
2002,
xix+ 580,
US$105.00,
0-471-55604-1
References:
-
- 1.
- L. Caffarelli, B. Gidas and J. Spruck, Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (1989), 271-297. MR 0982351 (90c:35075)
- 2.
- John B. Conway, A Course in Functional Analysis, Second edition. Graduate Texts in Mathematics, 96. Springer-Verlag, New York, 1990. MR 1070713 (91e:46001)
- 3.
- D. Gilbarg and N. Trudinger, Elliptic partial differential equations of second order. Reprint of the 1998 edition. Classics in Mathematics, Springer-Verlag, Berlin-New York, 2001. MR 1814364 (2001k:35004)
- 4.
- P. Guan,
 a priori estimates for degenerate Monge-Ampère equations, Duke Math. J. 86 (1997), 323-346. MR 1430436 (98d:35074) - 5.
- J. Lee and T. Parker, The Yamabe problem, Bull. Amer. Math. Soc. (N.S.) 17 (1987), 37-91. MR 0888880 (88f:53001)
- 6.
- L. Nirenberg, Topics in Nonlinear Functional Analysis, Courant Lecture Notes in Mathematics, 6. American Mathematical Society, Providence, RI, 2001. MR 1850453 (2002j:47085)
- 7.
- P. Sacks and K. Uhlenbeck, On the existence of minimal immersions of 2-spheres, Ann. of Math. 113 (1981), 1-24. MR 0604040 (82f:58035)
- 8.
- M. Struwe, Variational methods. Applications to nonlinear partial differential equations and Hamiltonian systems. Third edition. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 34. Springer-Verlag, Berlin-New York, 2000. MR 1736116 (2000i:49001)
- 9.
- M. Takesaki, Theory of operator algebras, I-III, Encyclopaedia of Mathematical Sciences, 124, 125, 127. Springer-Verlag, Berlin, 2002, 2003. MR 1873025 (2002m:46083), MR 1943006 (2004g:46079), MR 1943007 (2004g:46080)
- 10.
- K. Yosida, Functional Analysis, Sixth edition. Grundlehren der Mathematischen Wissenschaften, 123. Springer-Verlag, Berlin-New York, 1980. MR 0617913 (82i:46002)
Additional Information:
Reviewer(s):
Meijun
Zhu
Affiliation:
University of Oklahoma
Email:
mzhu@math.ou.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
43
(2006),
123-126.
MSC
(2000):
Primary 46-01
DOI:
10.1090/S0273-0979-05-01073-6
PII:
S 0273-0979(05)01073-6
Posted:
July 6, 2005
Copyright of article:
Copyright
2005,
American Mathematical Society
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