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Algebra i Analiz, 1998, Volume 10, Issue 5, Pages 143–183 (Mi aa1030)  

This article is cited in 20 scientific papers (total in 20 papers)

Research Papers

Krein's spectral shift and perturbations of spectra of rank one

A. Poltoratski

Department of Mathematics, MIT, Cambridge, MA
Received: 22.08.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Poltoratski, “Krein's spectral shift and perturbations of spectra of rank one”, Algebra i Analiz, 10:5 (1998), 143–183; St. Petersburg Math. J., 10:5 (1999), 833–859
Citation in format AMSBIB
\Bibitem{Pol98}
\by A.~Poltoratski
\paper Krein's spectral shift and perturbations of spectra of rank one
\jour Algebra i Analiz
\yr 1998
\vol 10
\issue 5
\pages 143--183
\mathnet{http://mi.mathnet.ru/aa1030}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1659988}
\zmath{https://zbmath.org/?q=an:0932.47009}
\transl
\jour St. Petersburg Math. J.
\yr 1999
\vol 10
\issue 5
\pages 833--859
Linking options:
  • https://www.mathnet.ru/eng/aa1030
  • https://www.mathnet.ru/eng/aa/v10/i5/p143
  • This publication is cited in the following 20 articles:
    1. Putinar M. Yakubovich D., “Spectral Dissection of Finite Rank Perturbations of Normal Operators”, J. Operat. Theor., 85:1 (2021), 45–78  crossref  isi
    2. Liaw C., “Rank-One Perturbations and Anderson-Type Hamiltonians”, Banach J. Math. Anal., 13:3 (2019), 507–523  crossref  isi
    3. Makarov N., Poltoratski A., “Two-Spectra Theorem With Uncertainty”, J. Spectr. Theory, 9:4 (2019), 1249–1285  crossref  isi
    4. Abakumov E., Liaw C., Poltoratski A., “Cyclicity in Rank-1 Perturbation Problems”, J. Lond. Math. Soc.-Second Ser., 88:2 (2013), 523–537  crossref  mathscinet  zmath  isi  scopus
    5. Budisic M., Putinar M., “Conditioning Moments of Singular Measures for Entropy Optimization. I”, Indag. Math.-New Ser., 23:4, SI (2012), 848–883  crossref  mathscinet  zmath  isi  scopus
    6. Poltoratski A., “Spectral Gaps for Sets and Measures”, Acta Math., 208:1 (2012), 151–209  crossref  mathscinet  zmath  isi  scopus
    7. Dutkay D.E., Jorgensen P.E.T., “Spectral Theory for Discrete Laplacians”, Complex Analysis and Operator Theory, 4:1 (2010), 1–38  crossref  mathscinet  zmath  isi  scopus
    8. Elliott S., “Adjoints of composition operators on Hardy spaces of the half–plane”, Journal of Functional Analysis, 256:12 (2009), 4162–4186  crossref  mathscinet  zmath  isi  scopus
    9. V. A. Sadovnichii, V. E. Podolskii, “Traces of operators”, Russian Math. Surveys, 61:5 (2006), 885–953  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. Kapustin V., Poltoratski A., “Boundary convergence of vector-valued pseudocontinuable functions”, J. Funct. Anal., 238:1 (2006), 313–326  crossref  mathscinet  zmath  isi  elib  scopus
    11. Poltoratski A., Sarason D., “Aleksandrov-Clark measures”, Recent Advances in Operator-Related Function Theory, Contemporary Mathematics Series, 393, 2006, 1–14  crossref  mathscinet  zmath  isi
    12. Cima J.A., Matheson A., Ross W.T., “The Cauchy transform”, Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary Volume, Operator Theory : Advances and Applications, 156, 2005, 79–111  crossref  mathscinet  zmath  isi
    13. Poltoratski A., “Maximal properties of the normalized Cauchy transform”, J. Amer. Math. Soc., 16:1 (2003), 1–17  crossref  mathscinet  zmath  isi  scopus
    14. Nazarov F., Volberg A., “The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces $K_\theta$”, J. Anal. Math., 87 (2002), 385–414  crossref  mathscinet  zmath  isi  scopus
    15. del Rio R., Fuentes S., Poltoratski A., “Families of spectral measures with mixed types”, Operator Methods in Ordinary and Partial Differential Equations, Operator Theory : Advances and Applications, 132, 2002, 131–140  mathscinet  zmath  isi
    16. Poltoratski A.G., “Properties of exposed points in the unit ball of $H^1$”, Indiana Univ. Math. J., 50:4 (2001), 1789–1806  crossref  mathscinet  zmath  isi  scopus
    17. Poltoratski A., “Survival probability in rank-one perturbation problems”, Comm. Math. Phys., 223:1 (2001), 205–222  crossref  mathscinet  zmath  adsnasa  isi  scopus
    18. Poltoratski A., “Integral representations and uniqueness sets for star-invariant subspaces”, Systems, Approximation, Singular Integral Operators, and Related Topics, Operator Theory : Advances and Applications, 129, 2001, 425–443  crossref  mathscinet  zmath  isi
    19. Gesztesy F., Tsekanovskii E., “On matrix-valued Herglotz functions”, Math. Nachr., 218 (2000), 61–138  crossref  mathscinet  zmath  isi
    20. Poltoratski A.G., “Equivalence up to a rank one perturbation”, Pacific J. Math., 194:1 (2000), 175–188  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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