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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Reflection symmetry and symmetrizability of Hilbert space operators
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by Zoltán Sebestyén and Jan Stochel PDF
Proc. Amer. Math. Soc. 133 (2005), 1727-1731 Request permission

Abstract:

A general factorization theorem for symmetrizable operators relating their spectra to spectra of selfadjoint operators induced by minimal factorizations is established. Its modified version essentially improves and completes a theorem of Jorgensen, which concerns diagonalizing operators with reflection symmetry.
References
  • T. Ando, De Branges spaces and analytic operator functions, Lecture Note, Hokkaido University, Sapporo, Japan, 1990.
  • E. Garbe, Zur Theorie der Integralgleichung dritter Art, Math. Annalen 76 (1915), 409-416.
  • Palle E. T. Jorgensen, Diagonalizing operators with reflection symmetry, J. Funct. Anal. 190 (2002), no. 1, 93–132. Special issue dedicated to the memory of I. E. Segal. MR 1895530, DOI 10.1006/jfan.2001.3881
  • J. Marty, Valeurs singulières d’une équation de Fredholm, C.R. Acad. Sci., Paris 150 (1910), 1499-1502.
  • A. J. Pell, Applications of biorthogonal systems of functions to the theory of integral equations, Trans. Amer. Math. Soc. 12 (1911), 165-180.
  • Zoltán Sebestyén, Positivity of operator products, Acta Sci. Math. (Szeged) 66 (2000), no. 1-2, 287–294. MR 1768867
  • Z. Sebestyén and J. Stochel, On products of unbounded operators, Acta Math. Hungar. 100 (2003), no. 1-2, 105–129. MR 1984863, DOI 10.1023/A:1024660318703
  • Irving Segal, Real spinor fields and the electroweak interaction, J. Funct. Anal. 154 (1998), no. 2, 542–558. MR 1612662, DOI 10.1006/jfan.1997.3213
  • Adriaan Cornelis Zaanen, Linear analysis. Measure and integral, Banach and Hilbert space, linear integral equations, Interscience Publishers Inc., New York; North-Holland Publishing Co., Amsterdam; P. Noordhoff N. V., Groningen, 1953. MR 0061752
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Additional Information
  • Zoltán Sebestyén
  • Affiliation: Department of Applied Analysis, Eötvös University, H-1117 Budapest, Pázmány Péter sétány 1/c, Hungary
  • Email: sebesty@cs.elte.hu
  • Jan Stochel
  • Affiliation: Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland
  • Email: stochel@im.uj.edu.pl
  • Received by editor(s): January 22, 2004
  • Received by editor(s) in revised form: February 14, 2004
  • Published electronically: November 19, 2004
  • Additional Notes: The research of the second author was supported by KBN grant 2 P03A 037 024
  • Communicated by: Joseph A. Ball
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1727-1731
  • MSC (2000): Primary 47A05, 47A10; Secondary 47B32
  • DOI: https://doi.org/10.1090/S0002-9939-04-07705-6
  • MathSciNet review: 2120258