|
Duality and Kato's theorem on small perturbations
Author:
Le Quang Chu
Journal:
Bull. Amer. Math. Soc. 82 (1976), 896-898
MSC (1970):
Primary 47A55, 47B30
MathSciNet review:
0435898
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Marc
De Wilde and Le
Quang Chu, Perturbation of maps in locally convex spaces,
Math. Ann. 215 (1975), 215–233. MR 0473887
(57 #13546)
- 2.
I. C. Gohberg and M. G. Kreĭn, The basic propositions on defect numbers, root numbers and indices of linear operators, Uspehi Mat. Nauk 12 (1957), no. 2 (74), 43—118; English transl., Amer. Math. Soc. Transl. (2) 13 (1960), 185-264. MR 20 #3459; 22 #3984.
- 3.
Tosio
Kato, Perturbation theory for nullity, deficiency and other
quantities of linear operators, J. Analyse Math. 6
(1958), 261–322. MR 0107819
(21 #6541)
- 4.
Le Quang Chu, Bounded perturbations of Φ, Bull. Soc. Roy. Sci. Liège 1-2 (1975), 28-35; addendum, ibid. 9-10 (1975), 537—539; corrigendum, ibid, (to appear).
- 5.
Le
Quang Chu, A short proof of Vladimirskii’s theorem on
precompact perturbations in locally convex spaces, Canad. Math. Bull.
18 (1975), no. 5, 649–655. MR 0415367
(54 #3455)
- 6.
A.
P. Robertson and Wendy
Robertson, Topological vector spaces, 2nd ed., Cambridge
University Press, London, 1973. Cambridge Tracts in Mathematics and
Mathematical Physics, No. 53. MR 0350361
(50 #2854)
- 7.
Ju.
N. Vladimirskiĭ, Bounded perturbations of Φ-operators in
locally convex spaces, Dokl. Akad. Nauk SSSR 196
(1971), 263–265 (Russian). MR 0273457
(42 #8335)
- 8.
Ju.
N. Vladimirskiĭ, Compact perturbations of Φ-operators in
locally convex spaces, Sibirsk. Mat. Ž. 14
(1973), 738–759, 909 (Russian). MR 0634980
(58 #30404)
- 1.
- M. De Wilde and Le Quang Chu, Perturbation of maps in locally convex spaces, Math. Ann. 215 (1975), 215-233. MR 473887
- 2.
- I. C. Gohberg and M. G. Kreĭn, The basic propositions on defect numbers, root numbers and indices of linear operators, Uspehi Mat. Nauk 12 (1957), no. 2 (74), 43—118; English transl., Amer. Math. Soc. Transl. (2) 13 (1960), 185-264. MR 20 #3459; 22 #3984.
- 3.
- T. Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Analyse Math. 6 (1958), 261-322. MR 21 #6541. MR 107819
- 4.
- Le Quang Chu, Bounded perturbations of Φ, Bull. Soc. Roy. Sci. Liège 1-2 (1975), 28-35; addendum, ibid. 9-10 (1975), 537—539; corrigendum, ibid, (to appear).
- 5.
- Le Quang Chu, A short proof of Vladimirskiĭ's theorem on precompact perturbations, Canad. Math. Bull. 18 (1975), 649-655. MR 415367
- 6.
- A. P. Robertson and W. Robertson, Topological vector spaces, 2nd ed., Cambridge Univ. Press, New York, 1973. MR 50 #2854. MR 350361
- 7.
- Ju. N. Vladimirskiĭ, On bounded perturbations of Φ, Dokl. Akad. Nauk SSSR 196 (1971), 263-265 = Soviet Math. Dokl. 12 (1971), 80-83. MR 42 #8335. MR 273457
- 8.
- Ju. N. Vladimirskiĭ, Compact perturbations of Φ-operators in locally convex spaces, Sibirsk. Mat. Ž. 14 (1973), 738-759 = Siberian Math. J. 14 (1973), 511-524. MR 634980
Similar Articles
Retrieve articles in Bulletin of the American Mathematical Society
with MSC (1970):
47A55,
47B30
Retrieve articles in all journals
with MSC (1970):
47A55,
47B30
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1976-14200-0
PII:
S 0002-9904(1976)14200-0
|
