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Characterizations of the essential spectrum of F. E. Browder
Author:
David Lay
Journal:
Bull. Amer. Math. Soc. 74 (1968), 246-248
MathSciNet review:
0221318
Full-text PDF
References |
Additional Information
- 1.
Felix
E. Browder, On the spectral theory of elliptic differential
operators. I, Math. Ann. 142 (1960/1961),
22–130. MR
0209909 (35 #804)
- 2.
S.
R. Caradus, Operators of Riesz type, Pacific J. Math.
18 (1966), 61–71. MR 0199704
(33 #7847)
- 3.
M.
A. Kaashoek, Ascent, descent, nullity and defect: A note on a paper
by A. E. Taylor, Math. Ann. 172 (1967),
105–115. MR 0222669
(36 #5719)
- 4.
Tosio
Kato, Perturbation theory for nullity, deficiency and other
quantities of linear operators, J. Analyse Math. 6
(1958), 261–322. MR 0107819
(21 #6541)
- 5.
David
Kleinecke, Almost-finite, compact, and
inessential operators, Proc. Amer. Math.
Soc. 14 (1963),
863–868. MR 0155197
(27 #5136), http://dx.doi.org/10.1090/S0002-9939-1963-0155197-5
- 6.
D. C. Lay, Studies in spectral theory using ascent, descent, nullity and defect, Doctoral dissertation, University of California, Los Angeles, 1966.
- 7.
Martin
Schechter, On the essential spectrum of an arbitrary operator.
I, J. Math. Anal. Appl. 13 (1966), 205–215. MR 0188798
(32 #6230)
- 8.
Angus
E. Taylor, Introduction to functional analysis, John Wiley
& Sons Inc., New York, 1958. MR 0098966
(20 #5411)
- 9.
Angus
E. Taylor, Theorems on ascent, descent, nullity and defect of
linear operators, Math. Ann. 163 (1966), 18–49.
MR
0190759 (32 #8169)
- 10.
František
Wolf, On the essential spectrum of partial differential boundary
problems., Comm. Pure Appl. Math. 12 (1959),
211–228. MR 0107750
(21 #6472)
- 1.
- F. E. Browder, On the spectral theory of elliptic differential operators. I, Math. Ann. 142 (1961), 22-130. MR 209909
- 2.
- S. R. Caradus, Operators of Riesz type, Pacific J. Math. 18 (1966), 61-71. MR 199704
- 3.
- M. A. Kaashoek, Ascent, descent, nullity and defect, a note on a paper by A. E. Taylor, Math. Ann. 172 (1967), 105-115. MR 222669
- 4.
- T. Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Analyse Math. 6 (1958), 261-322. MR 107819
- 5.
- D. Kleinecke, Almost-finite, compact and inessential operators, Proc. Amer. Math. Soc. 14 (1963), 863-868. MR 155197
- 6.
- D. C. Lay, Studies in spectral theory using ascent, descent, nullity and defect, Doctoral dissertation, University of California, Los Angeles, 1966.
- 7.
- M. Schechter, On the essential spectrum of an arbitrary operator. I, J. Math. Anal. Appl. 13 (1966), 205-215. MR 188798
- 8.
- A. E. Taylor, Introduction to functional analysis, Wiley and Sons, New York, 1958. MR 98966
- 9.
- A. E. Taylor, Theorems on ascent, descent, nullity and defect of linear operators, Math. Ann. 163 (1966), 18-49. MR 190759
- 10.
- F. Wolf, On the essential spectrum of partial differential boundary problems, Comm. Pure Appl. Math. 12 (1959), 211-228. MR 107750
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1968-11905-6
PII:
S 0002-9904(1968)11905-6
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