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Algebra i Analiz, 1997, Volume 9, Issue 6, Pages 214–236 (Mi aa902)  

This article is cited in 15 scientific papers (total in 15 papers)

Research Papers

The Cwikel–Lieb–Rozenblyum estimator for generators of positive semigroups and semigroups dominated by positive semigroups

G. Rozenbluma, M. Solomyakb

a Department of Mathematics, Göteborg University , Göteborg, Sweden
b Department of Theoretical Mathematics, Weizmann Institute of Science, Rehovot, Israel

Full text: PDF file (1083 kB)

English version:
St. Petersburg Mathematical Journal, 1998, 9:6, 1195–1211

Bibliographic databases:

Received: 15.07.1997

Citation: G. Rozenblum, M. Solomyak, “The Cwikel–Lieb–Rozenblyum estimator for generators of positive semigroups and semigroups dominated by positive semigroups”, Algebra i Analiz, 9:6 (1997), 214–236; St. Petersburg Math. J., 9:6 (1998), 1195–1211

Citation in format AMSBIB
\Bibitem{RozSol97}
\by G.~Rozenblum, M.~Solomyak
\paper The Cwikel--Lieb--Rozenblyum estimator for generators of positive semigroups and semigroups dominated by positive semigroups
\jour Algebra i Analiz
\yr 1997
\vol 9
\issue 6
\pages 214--236
\mathnet{http://mi.mathnet.ru/aa902}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1610184}
\zmath{https://zbmath.org/?q=an:0911.47025}
\transl
\jour St. Petersburg Math. J.
\yr 1998
\vol 9
\issue 6
\pages 1195--1211


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Pushnitski, A, “Spectral shift function of the Schrodinger operator in the large coupling constant limit”, Communications in Partial Differential Equations, 25:3–4 (2000), 703  crossref  mathscinet  zmath  isi  scopus  scopus
    2. Melgaard, M, “Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians”, Annales Henri Poincare, 5:5 (2004), 979  crossref  mathscinet  adsnasa  isi  scopus  scopus
    3. Frank, RL, “Number of bound states of Schrodinger operators with matrix-valued potentials”, Letters in Mathematical Physics, 82:2–3 (2007), 107  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. Weidl T., “Nonstandard Cwikel type estimates”, Interpolation Theory and Applications, Contemporary Mathematics Series, 445, 2007, 337–357  crossref  mathscinet  zmath  isi
    5. Ouhabaz E.M., Poupaud C., “Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrodinger Operators on Riemannian Manifolds”, Acta Applicandae Mathematicae, 110:3 (2010), 1449–1459  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    6. G. V. Rozenblum, M. Z. Solomyak, “On Spectral Estimates for Schrödinger-Type Operators: The Case of Small Local Dimension”, Funct. Anal. Appl., 44:4 (2010), 259–269  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. Saloff-Coste L., “The heat kernel and its estimates”, Probabilistic Approach to Geometry, Advanced Studies in Pure Mathematics, 57, 2010, 405–436  mathscinet  zmath  isi
    8. Frank R.L., Lieb E.H., Seiringer R., “Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities”, XVIth International Congress on Mathematical Physics, 2010, 523–535  crossref  mathscinet  zmath  isi  scopus  scopus
    9. Prizzi M., “Dimension of Attractors and Invariant Sets in Reaction Diffusion Equations”, Topol. Methods Nonlinear Anal., 40:2 (2012), 315–336  mathscinet  zmath  isi  elib
    10. Prizzi M., “Dimension of Attractors and Invariant Sets of Damped Wave Equations in Unbounded Domains”, Topol. Methods Nonlinear Anal., 41:2 (2013), 267–285  mathscinet  zmath  isi  elib
    11. Grillo G., Kovarik H., Pinchover Y., “Sharp Two-Sided Heat Kernel Estimates of Twisted Tubes and Applications”, Arch. Ration. Mech. Anal., 213:1 (2014), 215–243  crossref  mathscinet  zmath  isi  scopus  scopus
    12. Exner P. Kovarik H., Quantum Waveguides, Theoretical and Mathematical Physics, Springer-Verlag Berlin, 2015, 1–382  crossref  mathscinet  isi
    13. Laptev A., Velicu A., “Bound States of Schrodinger Type Operators With Heisenberg Sub-Laplacian”, Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: the Helge Holden Anniversary Volme, EMS Ser. Congr. Rep., eds. Gesztesy F., HancheOlsen H., Jakobsen E., Lyubarskii Y., Risebro N., Seip K., Eur. Math. Soc., 2018, 381–387  isi
    14. G. V. Rozenblyum, “O matematicheskikh rabotakh Mikhaila Zakharovicha Solomyaka”, Algebra i analiz, 30:3 (2018), 3–29  mathnet  elib
    15. Exner P., Kostenko A., Malamud M., Neidhardt H., “Spectral Theory of Infinite Quantum Graphs”, Ann. Henri Poincare, 19:11 (2018), 3457–3510  crossref  mathscinet  zmath  isi  scopus
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