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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Spectral classification of operators and operator functions
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by I. Gohberg, M. A. Kaashoek and D. C. Lay PDF
Bull. Amer. Math. Soc. 82 (1976), 587-589
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.
  • Yu. L. Daletskiĭ and M. G. Kreĭn, Ustoĭchivost′resheniĭ differentsial′nykh uravneniĭ v banakhovom prostranstve, Nonlinear Analysis and its Applications Series, Izdat. “Nauka”, Moscow, 1970 (Russian). MR 0352638
  • I. C. Gohberg, Certain questions of the spectral theory of finitely meromorphic operator functions, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 6 (1971), no. 2-3, 160–181; corrections, ibid. 7 (1972), no. 2, 152 (Russian, with Armenian and English summaries). MR 0322556
  • I. C. Gohberg and Ju. Laĭterer, Cocycles, operator-valued functions and families of subspaces, Mat. Issled. 8 (1973), no. 2(28), 23–56, 188 (Russian). MR 0336346
  • I. C. Gohberg and E. I. Sigal, An operator generalization of the logarithmic residue theorem and Rouché’s theorem, Mat. Sb. (N.S.) 84(126) (1971), 607–629 (Russian). MR 0313856
  • Marvin Rosenblum, On the operator equation $BX-XA=Q$, Duke Math. J. 23 (1956), 263–269. MR 79235
  • E. I. Sigal, Factor multiplicity of the characteristic number of a meromorphic operator function, Mat. Issled. 5 (1970), no. vyp. 4 (18), 136–152 (Russian). MR 0284849
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 82 (1976), 587-589
  • MSC (1970): Primary 47A10; Secondary 47A20, 47A50, 47B30, 30A96
  • DOI: https://doi.org/10.1090/S0002-9904-1976-14117-1
  • MathSciNet review: 0405144