GENERALIZATIONS ON NORMAL SELF-ADJOINT OPERATORS
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Abstract
In this paper, we study the properties of normal self-adjoint operators. We concentrate on some of their properties, for
example, reflexivity, denseness and compactness. We also give some results on norm-attainability.
Keywords: Reflexivity, Compactness, Denseness, Numerical radius attainability, Normal operators and Self-adjoint operators.
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Acosta M. D., Agurre F. J., Paya R., A space by W. Gowers and new results on norm and numerical
radius attaining operators. Acta universitatis Caroline. Math. Et physica., Vol.33, no.2, (1992), 5-14.
Acosta M. D., Galan M. R., Reflexivity spaces and numerical radius attaining operators. J. Extracta
math., Vol.15, no.2, (2000), 247-255.
Acosta M. D., Paya R., Numerical radius attaining operators. Extracta math. Vol.2, (1987), 74-76.
Bishop, E., Phelps, R. R., A proof that every Banach space is sub reflexive. Bull. Amer. Math. Soc.,
Vol.67, (1961), 97-98.
Chi-kwong L., Lecture notes on numerical Ranges. Department of math. College of William and Mary,
Virginia 23187-8795. (2005).
Gowers W., Symmetric block bases of sequences with large average growth. J. Israel j. Math., Vol.169,
(1990), 129-149.
Gustafson K.E., et al, Numerical Range. Springer-verlay, New York, inc., (1997).
Honke D., Wang Y., Jianming L. Reduced minimal numerical ranges of operators on a Hilbert space. J.
Acta math. Scientia., Vol.29B, no.1, (2009), 94-100.