SciELO - Scientific Electronic Library Online

 
vol.39 issue2Representing 3-manifolds by triangulations of S³: a constructive approachA variant of Newton's method for generalized equations author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

  • On index processCited by Google
  • Have no similar articlesSimilars in SciELO
  • On index processSimilars in Google

Share


Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Rev.colomb.mat. vol.39 no.2 Bogotá July/Dec. 2005

 

On the normality of operators

 

Salah Mecheri

Department of Mathematics. College of Science. King Saud University. P.O.Box 2455, Riyadh 11451. Saudi Arabia

e-mail: mecherisalah@hotmail.com


Abstract. In this paper we will investigate the normality in (WN) and (Y) classes.

Keywords and phrases. Normal operators, Hilbert space, hermitian operators.

2000 Mathematics Subject Classification. Primary: 47A15. Secondary: 47B20, 47A63.


Resumen. En este artículo nosotros investigaremos la normalidad en clases (WN) y (Y).


FULL TEXT IN PDF


References

[1] J. H. Anderson, On normal derivations, Proc. Amer. Math. Soc., 38 (1973), 135-140.        [ Links ]

[2] S. K. Berberian, An extension of Weyl's theorem to a class of not necessarily normal operators, Michigan. Math. J., 16 (1969), 273-279        [ Links ]

[3] C. K. Fong & V. I. Istratescu, Some characterizations of hermitian operators and related classes of operators I, Proc. Amer. Math. Soc., 76 (1979), 107-112.        [ Links ]

[4] M. A. Kaashoek & M. R. F. Smyth, On operators T such that f(T) is Rieszor meromorphic, Proc. Royal Irish Acad., 72 (1972), 81-87.        [ Links ]

[5] F. Kittaneh, Linear operators for which (ReT)2 ≤ T2, Tamkang J. Math., 11 no. 1 (1980), 11-115.        [ Links ]

[6] F. Kittaneh, On the structure of polynomially normal operators, Bull. Austral. Math. Soc., 30 (1984), 11-18.        [ Links ]

[7] S. Mecheri, Some variants of Weber's theorem, Mathematical Proceeding of the Royal Irish Academy, 104A no. 1 (2004), 67-73.        [ Links ]

[8] S. Mecheri, Commutants and derivation ranges, Czechoslovak. Math. J., 49 no. 124 (1999), 843-847.        [ Links ]

[9] S. Mecheri, Finite operators, Demonstratio. Math., 37 (2002), 357-366.        [ Links ]

[10] S. Mecheri, Generalized finite operators, Demonstratio. Math., 38 no.1 (2005), 163-167.        [ Links ]

[11] C. Olsen, A structure theorem for polynomial compact operators, American. J. Math., 63 (1971), 686.        [ Links ]

[12] J. G. Stampfli & B. L. Wadhwa, On dominant operators, Monatsh. Math., 84 (1977), 143-153.        [ Links ]

[13] A. Uchiyama & T. Yoshino, On the class (Y) operators, Nihonkai. Math. J., 8 (1997), 179-194.        [ Links ]

[14] J. P. Williams, Finite operators, Proc. Amer. Math. Soc., 26 (1970), 129-135.        [ Links ]

[15] R. E. Weber, Derivation and the trace class operators, Proc. Amer. Math. Soc., 73 (1979), 79-82.        [ Links ]

(Recibido en mayo de 2005. Aceptado en septiembre de 2005)

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License