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Funktsional. Anal. i Prilozhen., 1984, Volume 18, Issue 1, Pages 16–27 (Mi faa1422)  

This article is cited in 27 scientific papers (total in 27 papers)

Conditions for similarity to unitary and self-adjoint operators

S. N. Naboko


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English version:
Functional Analysis and Its Applications, 1984, 18:1, 13–22

Bibliographic databases:

UDC: 517.948.35
Received: 24.05.1982

Citation: S. N. Naboko, “Conditions for similarity to unitary and self-adjoint operators”, Funktsional. Anal. i Prilozhen., 18:1 (1984), 16–27; Funct. Anal. Appl., 18:1 (1984), 13–22

Citation in format AMSBIB
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\by S.~N.~Naboko
\paper Conditions for similarity to unitary and self-adjoint operators
\jour Funktsional. Anal. i Prilozhen.
\yr 1984
\vol 18
\issue 1
\pages 16--27
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=739086}
\zmath{https://zbmath.org/?q=an:0551.47012}
\transl
\jour Funct. Anal. Appl.
\yr 1984
\vol 18
\issue 1
\pages 13--22
\crossref{https://doi.org/10.1007/BF01076357}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Peller, “Spectrum, similarity, and invariant subspaces of Toeplitz operators”, Math. USSR-Izv., 29:1 (1987), 133–144  mathnet  crossref  mathscinet  zmath
    2. M. M. Faddeev, “Similarity of an operator to an isometric operator”, Funct. Anal. Appl., 23:2 (1989), 149–151  mathnet  crossref  mathscinet  zmath  isi
    3. S. N. Naboko, “Structure of the singularities of operator functions with a positive imaginary part”, Funct. Anal. Appl., 25:4 (1991), 243–253  mathnet  crossref  mathscinet  zmath  isi
    4. M. M. Faddeev, “Necessary conditions for similarity of an operator to a self-adjoint one”, Funct. Anal. Appl., 26:4 (1992), 295–297  mathnet  crossref  mathscinet  zmath  isi
    5. A. M. Gomilko, “Conditions on the Generator of a Uniformly Bounded $C_0$-semigroup”, Funct. Anal. Appl., 33:4 (1999), 294–296  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. I. M. Karabash, “On $J$-Self-Adjoint Differential Operators Similar to Self-Adjoint Operators”, Math. Notes, 68:6 (2000), 798–799  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. A. V. Kiselev, M. M. Faddeev, “The Similarity Problem for Non-Self-adjoint Operators with Absolutely Continuous Spectrum”, Funct. Anal. Appl., 34:2 (2000), 143–145  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. Naboko S., Romanov R., “Spectral singularities, Szokefalvi-Nagy-Foias functional model and the spectral analysis of the Boltzmann operator”, Recent Advances in Operator Theory and Related Topics - the Bela Szokefalvi-Nagy Memorial Volume, Operator Theory : Advances and Applications, 127, 2001, 473–490  isi
    9. M. M. Faddeev, R. G. Shterenberg, “On the Similarity of Some Differential Operators to Self-Adjoint Ones”, Math. Notes, 72:2 (2002), 261–270  mathnet  crossref  crossref  mathscinet  zmath  isi
    10. Kiselev A.V., “On the resolvent estimates for the generators of strongly continuous groups in the Hilbert spaces”, Operator Methods in Ordinary and Partial Differential Equations, Operator Theory : Advances and Applications, 132, 2002, 253–266  isi
    11. R. O. Hryniv, A. A. Shkalikov, “Exponential Stability of Semigroups Related to Operator Models in Mechanics”, Math. Notes, 73:5 (2003), 618–624  mathnet  crossref  crossref  mathscinet  zmath  isi
    12. I. M. Karabash, A. S. Kostenko, “Similarity of $\operatorname{sgn}x(-\frac{d^2}{dx^2}+c\delta)$ Type Operators to Normal and Self-adjoint Operators”, Math. Notes, 74:1 (2003), 127–131  mathnet  crossref  crossref  mathscinet  zmath  isi
    13. D. V. Yakubovich, “Linear-similar Sz.-Nagy–Foias model in a domain”, St. Petersburg Math. J., 15:2 (2004), 289–321  mathnet  crossref  mathscinet  zmath
    14. Chill, R, “Stability of C-0-semigroups and geometry of Banach spaces”, Mathematical Proceedings of the Cambridge Philosophical Society, 135 (2003), 493  crossref  isi
    15. R. O. Hryniv, A. A. Shkalikov, “Exponential Decay of Solution Energy for Equations Associated with Some Operator Models of Mechanics”, Funct. Anal. Appl., 38:3 (2004), 163–172  mathnet  crossref  crossref  mathscinet  zmath  isi
    16. A. S. Kostenko, “Similarity of Indefinite Sturm–Liouville Operators with Singular Potential to a Self-Adjoint Operator”, Math. Notes, 78:1 (2005), 134–139  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    17. I. M. Karabash, S. Hassi, “Similarity between $J$-Self-Adjoint Sturm–Liouville Operators with Operator Potential and Self-Adjoint Operators”, Math. Notes, 78:4 (2005), 581–585  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    18. A. S. Kostenko, “Similarity of Some $J$-Nonnegative Operators to Self-Adjoint Operators”, Math. Notes, 80:1 (2006), 131–135  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    19. Gomilko A., Wrobel I., Zemanek J., “Numerical Ranges in a Strip”, Operator Theory 20, Proceedings, 2006, 111–121  isi
    20. Karabash, IM, “INDEFINITE Sturm-Liouville OPERATORS (sgn x) (-d(2)/dx(2)) + q(x)) WITH FINITE-ZONE POTENTIALS”, Operators and Matrices, 1:3 (2007), 301  isi
    21. Cojuhari, PA, “On the characterization of scalar type spectral operators”, Studia Mathematica, 184:2 (2008), 121  crossref  isi
    22. M. M. Faddeev, “On Spectral Properties of the Discrete Schrödinger Operator with Pure Imaginary Finite Potential”, Math. Notes, 85:3 (2009), 437–440  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    23. Kiselev A.V., “Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators”, Methods of Spectral Analysis in Mathematical Physics, Operator Theory Advances and Applications, 186, 2009, 267–283  isi
    24. Kostenko A., “The Similarity Problem for Indefinite Sturm-Liouville Operators With Periodic Coefficients”, Oper Matrices, 5:4 (2011), 707–722  isi
    25. Krejcirik D. Siegl P. Zelezny J., “On the Similarity of Sturm-Liouville Operators with Non-Hermitian Boundary Conditions to Self-Adjoint and Normal Operators”, Complex Anal. Oper. Theory, 8:1 (2014), 255–281  crossref  isi
    26. G. M. Gubreev, A. A. Tarasenko, “On the Similarity to Self-Adjoint Operators”, Funct. Anal. Appl., 48:4 (2014), 286–290  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    27. Hussein A. Krejcirik D. Siegl P., “Non-Self-Adjoint Graphs”, Trans. Am. Math. Soc., 367:4 (2015), PII S0002-9947(2014)06432-5, 2921–2957  isi
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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