Department of Mathematics
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Department of Mathematics |
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Technology Building Irvine, CA 92697-3875 (949) 824-5501 (949) 824-7993 Fax mschecht@math.uci.edu Office hour: Appointment only |
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| EDUCATION | RESEARCH AREA | PUBLICATIONS |
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[1] 1 861 991 Schechter, Martin Principles of functional analysis. Second edition. Graduate Studies in Mathematics, 36. American Mathematical Society, Providence, RI, 2002. xxii+425 pp. ISBN: 0-8218-2895-9 46-01 (47-01)
[2] 1 813 000 (Review) Perera, Kanishka; Schechter, Martin Semilinear elliptic equations having asymptotic limits at zero and infinity. Abstr. Appl. Anal. 4 (1999), no. 4, 231--242. (Reviewer: David Arcoya) 35J60 (35J65 58E05)
[3] 2002c:35114 Perera, Kanishka; Schechter, Martin Solution of nonlinear equations having asymptotic limits at zero and infinity. Calc. Var. Partial Differential Equations 12 (2001), no. 4, 359--369. (Reviewer: Fabiana Leoni) 35J65 (35J20)
[4] 2002b:58015 Perera, Kanishka; Schechter, Martin Applications of Morse theory to the solution of semilinear problems depending on $C\sp 1$ functionals. Nonlinear Anal. 45 (2001), no. 1, Ser. A: Theory Methods, 1--9. (Reviewer: Marco Squassina) 58E05 (35J60 35J65)
[5] 2001m:35116 Perera, Kanishka; Schechter, Martin The Fu\v cík spectrum and critical groups. Proc. Amer. Math. Soc. 129 (2001), no. 8, 2301--2308 (electronic). (Reviewer: Xiaofeng Ren) 35J60 (35J20 35J65 49J10 58E05)
[6] 2001k:35100 Perera, Kanishka; Schechter, Martin Multiple nontrivial solutions of elliptic semilinear equations. Topol. Methods Nonlinear Anal. 16 (2000), no. 1, 1--15. (Reviewer: Yong Qing Li) 35J60 (35J20 35J65 58E05)
[7] 2001k:35099 Perera, Kanishka; Schechter, Martin A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities. NoDEA Nonlinear Differential Equations Appl. 7 (2000), no. 4, 361--367. (Reviewer: João Marcos Bezerra do Ó) 35J60 (35J20 35J65 49J20 58E05)
[8] 2001f:58032 Schechter, Martin Linking methods in critical point theory. Birkhäuser Boston, Inc., Boston, MA, 1999. xviii+294 pp. ISBN: 0-8176-4095-9 (Reviewer: Jean-Noël Corvellec) 58E05 (35J65 47J30 58E30)
[9] 2001f:35138 Perera, Kanishka; Schechter, Martin Nontrivial solutions of elliptic semilinear equations at resonance. Manuscripta Math. 101 (2000), no. 3, 301--311. (Reviewer: Gianni Arioli) 35J60 (35D05 58E05)
[10] 2001e:58012 Schechter, Martin Resonance problems with respect to the Fu\v cík spectrum. Trans. Amer. Math. Soc. 352 (2000), no. 9, 4195--4205 (electronic). (Reviewer: Jie Yang) 58E05 (35J65 47J30 49J40)
[11] 2000h:35052 Perera, Kanishka; Schechter, Martin Type II regions between curves of the Fu\v cik spectrum and critical groups. Topol. Methods Nonlinear Anal. 12 (1998), no. 2, 227--243. (Reviewer: Jie Yang) 35J65 (58E05)
[12] 2000e:35156 Schechter, Martin Rotationally invariant periodic solutions of semilinear wave equations. Abstr. Appl. Anal. 3 (1998), no. 1-2, 171--180. (Reviewer: Eduard Feireisl) 35L70 (35B10)
[13] 99j:58043 Perera, Kanishka; Schechter, Martin Morse index estimates in saddle point theorems without a finite-dimensional closed loop. Indiana Univ. Math. J. 47 (1998), no. 3, 1083--1095. (Reviewer: Maria Letizia Bertotti) 58E05 (35J65)
[14] 99h:58035 Schechter, Martin New linking theorems. Rend. Sem. Mat. Univ. Padova 99 (1998), 255--269. (Reviewer: Jean Mawhin) 58E05 (35J65 47H15)
[15] 99h:58034 Schechter, Martin Infinite-dimensional linking. Duke Math. J. 94 (1998), no. 3, 573--595. (Reviewer: Miguel Ramos) 58E05 (35J60 47H15)
[16] 99h:58033 Schechter, Martin Critical point theory with weak-to-weak linking. Comm. Pure Appl. Math. 51 (1998), no. 11-12, 1247--1254. (Reviewer: Miguel Ramos) 58E05 (35J60 47H15)
[17] 99e:35072 Schechter, Martin Eigenvalue problems for semilinear equations. Spectral and scattering theory (Newark, DE, 1997), 157--175, Plenum, New York, 1998. (Reviewer: Wen Xiong Chen) 35J65
[18] 99b:35071 Schechter, Martin Type (II) regions between curves of the Fucik spectrum. NoDEA Nonlinear Differential Equations Appl. 4 (1997), no. 4, 459--476. (Reviewer: Jesús Hernández) 35J65 (47H12 58E05)
[19] 98d:35082 Schechter, Martin Resonance problems which intersect many eigenvalues. Math. Nachr. 183 (1997), 201--210. (Reviewer: Marco Degiovanni) 35J65 (35B99 47H15 58E05)
[20] 97k:35084 Schechter, M.; Tintarev, K. Critical points for pairs of functionals and semilinear elliptic equations. Calculus of variations, applications and computations (Pont-à-Mousson, 1994), 245--253, Pitman Res. Notes Math. Ser., 326, Longman Sci. Tech., Harlow, 1995. (Reviewer: J. V. A. Gonçalves) 35J65 (35B05 49J10)
1. (with Bers, L. and John, F.) Partial Differential Equations, Interscience, New York, 1964. American Mathematical Society, 1979
2. Principles of Functional Analysis, Academic Press, New York, 1971.
3. Spectra of Partial Differential Operators, North Holland, Amsterdam, 1971. Second Edition 1986.
4. Modern Methods in Partial Differential Equations, McGraw-Hill, New York, 1977.
5. Operator Methods in Quantum Mechanics, Elsevier North-Holland, New York, 1981.
6. Linking Methods in Critical Point Theory, Birkh\"auser, Boston, 1999.
7. Principles ofFunctional Analysis, Second Edition, American Mathematical Society, 2001.
[2]
MR2016753 Jeribi, Aref On the Schechter essential spectrum on Banach spaces and application. Facta Univ. Ser. Math. Inform. No. 17 (2002), 35--55. 47A10[3]
MR1941781 (2004d:82033) Jeribi, Aref Some remarks on the Schechter essential spectrum and applications to transport equations. J. Math. Anal. Appl. 275 (2002), no. 1, 222--237. (Reviewer: Ming Zhu Yang) 82C70 (47A10 47G20 47N55)[4]
MR1923639 (2003j:47003) Jeribi, Aref A characterization of the Schechter essential spectrum on Banach spaces and applications. J. Math. Anal. Appl. 271 (2002), no. 2, 343--358. (Reviewer: Ming Zhu Yang) 47A10 (35P05 47N55)[5]
MR1349035 (96k:46137) Carro, M. J.; Cerdà, J.; Milman, M.; Soria, J. Schechter methods of interpolation and commutators. Math. Nachr. 174 (1995), 35--53. (Reviewer: Mieczys\l aw Masty\l o) 46M35 (47B99)[6]
MR1433491 (98f:46028) Biroli, Marco An embedding property of Schechter's type for Dirichlet forms on an homogeneous space. Istit. Lombardo Accad. Sci. Lett. Rend. A 128 (1994), no. 2, 247--255 (1995). (Reviewer: W. P. Ziemer) 46E35 (31C25)[7]
MR1155178 (93b:46142) Carro, M. J.; Cerdà, Joan On the Lions-Schechter complex interpolation method. Function spaces (Pozna\'n, 1989), 229--237, Teubner-Texte Math., 120, Teubner, Stuttgart, 1991. (Reviewer: Irina U. Asekritova) 46M35[8]
MR0842806 (87j:47025) González, Manuel; Onieva, Victor M. On the meromorphic and Schechter-Shapiro operational calculi. J. Math. Anal. Appl. 116 (1986), no. 2, 363--377. (Reviewer: H. A. Gindler) 47A60[9]
MR0763546 Zemánek, Jaroslav On the $\Delta $-characteristic of M. Schechter. Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics (Leipzig, 1983), 232--234, Teubner-Texte Math., 67, Teubner, Leipzig, 1984. 47A10 (47A53)[10]
MR0694833 (85g:47006) Miyajima, Shizuo Some converses of a theorem of M. Schechter on the conjugate of a product of operators. Sci. Papers College Gen. Ed. Univ. Tokyo 32 (1982), no. 2, 79--86. 47A05 (47A53)[11]
MR0681361 (84d:47014) Rako\v cevi\'c, Vladimir On one subset of M. Schechter's essential spectrum. Mat. Vesnik 5(18)(33) (1981), no. 4, 389--391. (Reviewer: T. A. Gillespie) 47A53 (47A10)[12]
MR0433234 (55 #6212) Simon, B. Scattering theory and quadratic forms: on a theorem of Schechter. Comm. Math. Phys. 53 (1977), no. 2, 151--153. (Reviewer: Francesco Premuda) 47A40 (81.47)[13]
MR0333759 (48 #12083) Pham The Lai Sur un théorème de M. Schechter concernant la transposée du produit de deux opérateurs. (French) Studia Math. 49 (1973), 1--5. (Reviewer: S. Goldberg) 47A05
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