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Spectral classification of operators and operator functions
Author(s):
I.
Gohberg;
M. A.
Kaashoek;
D. C.
Lay
Journal:
Bull. Amer. Math. Soc.
82
(1976),
587-589.
MSC (1970):
Primary 47A10;
Secondary 47A20, 47A50, 47B30, 30A96
MathSciNet review:
0405144
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Additional information
References:
- 1.
- H. Bart, M. A. Kaashoek and D. C. Lay, Relative inverses of meromorphic operator functions, Univ. of Maryland Tech. Report # TR 74-71, 1974.
- 2.
- Ju. L. Daleckiĭ and M. G. Kreĭn, Stability of solutions of differential equations in Banach space, "Nauka", Moscow, 1970; English transl., Transl. Math. Monographs, vol. 43, Amer. Math. Soc., Providence, R. I., 1975. MR 50 # 5125, 5126. MR 352638
- 3.
- I. C. Gohberg, On some topics of spectral theory of finite-meromorphic operator functions, Izv. Akad. Nauk Armjan S.S.R. 6 (1971), 160-181 (Russian). MR 322556
- 4.
- I. C. Gohberg and J. Leiterer, Cocycles, operator-valued functions and families of subspaces, Mat. Issled 8 (1973), vyp. 2 (28), 23-56, 188 (Russian). MR 49 # 1121. MR 336346
- 5.
- I. C. Gohberg and E. I. Sigal, An operator generalization of the logarithmic residue theorem and the theorem of Rouché, Mat. Sbornik 84 (126) (1971), 607-629 = Math. USSR Sbornik 13 (1971), 603-625. MR 47 # 2409. MR 313856
- 6.
- M. Rosenblum, On the operator equation BX - XA = Q, Duke Math. J. 23 (1956), 263-269. MR 18, 54. MR 79235
- 7.
- E. I. Sigal, Factor multiplicity of the characteristic number of a meromorphic operator function, Mat. Issled. 5 (1970), vyp. 4 (18), 136-152. (Russian) MR 44 # 2073. MR 284849
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14117-1
PII:
S 0002-9904(1976)14117-1
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