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JOURNALS // Algebra i Analiz

Algebra i Analiz, 2008, Volume 20, Issue 3, Pages 224–242 (Mi aa519)

Modulus of continuity of operator functions
Yu. B. Farforovskaya, L. Nikolskaya

References

1. Peller V. V., “Multiple operator integrals and higher operator derivatives”, J. Funct. Anal., 233:2 (2006), 515–544  crossref  mathscinet  zmath
2. Peller V. V., “Hankel operators in the perturbation theory of unbounded selfadjoint operators”, Analysis and Partial Differential Equations, Lecture Notes in Pure and Appl. Math., 122, Dekker, New York, 1990, 529–544  mathscinet
3. Birman M. Sh., Solomyak M. Z., “Dvoinye operatornye integraly Stiltesa”, Spektralnaya teoriya i volnovye protsessy, Probl. mat. fiz., 1, LGU, L., 1966, 33–67  mathscinet
4. Bennett G., “Schur multipliers”, Duke Math. J., 44 (1977), 603–639  crossref  mathscinet  zmath
5. Nikolskaya L. N., Farforovskaya Yu. B., “Tëplitsevy i gankelevy matritsy kak multiplikatory Adamara–Shura”, Algebra i analiz, 15:6 (2003), 141–160  mathnet  mathscinet
6. Matsaev V. N., “Ob odnom klasse vpolne nepreryvnykh operatorov”, Dokl. AN SSSR, 139:3 (1961), 548–551  mathnet  zmath
7. Polya G., “Remarks on characteristic functions”, Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability (1945, 1946), Univ. California Press, Berkeley–Los Angeles, 1949, 115–123  mathscinet
8. Bochner S., “Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse”, Math. Ann., 108 (1933), 378–410  crossref  mathscinet  zmath
9. Herglotz G., “Über Potenzreihen mit positivem, reellem Teil im Einheitskreis”, S.-B. Sächs. Akad. Wiss., 63 (1911), 501–511  zmath
10. Schur J., “Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen”, J. Reine Angew. Math., 140 (1911), 1–28  zmath
11. Helson H., Harmonic analysis, Addison-Wesley Publ. Co., Reading, MA, 1983  mathscinet  zmath
12. Farforovskaya Yu. B., “Dvoinye operatornye integraly i ikh otsenki v ravnomernoi norme”, Zap. nauch. semin. POMI, 232, 1996, 148–173  mathnet  zmath
13. Farforovskaya Yu. B., “Otsenka normy $|f(B)-f(A)|$ dlya samosopryazhennykh operatorov $A$$B$”, Zap. nauch. semin. LOMI, 56, 1976, 143–162  mathnet  mathscinet  zmath
14. Farforovskaya Yu. B., “Otsenki kommutatorov normalnykh operatorov”, Algebra i analiz, 11:4 (1999), 204–221  mathnet  mathscinet  zmath
15. Farforovskaya Yu. B., Nikolskaia L., “An inequality for commutators of normal operators”, Acta Sci. Math. (Szeged), 71 (2005), 751–765  mathscinet  zmath


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