Biblioteca de la Universidad Complutense de Madrid

Lorentz-Schatten classes and pointwise domination of matrices

Impacto

Cobos, Fernando y Kühn, Thomas (1999) Lorentz-Schatten classes and pointwise domination of matrices. Canadian Mathematical Bulletin, 42 (2). pp. 162-168. ISSN 0008-4395

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 2020.

16kB

URL Oficial: http://cms.math.ca/cmb/abstract/pdf/149035.pdf




Resumen

We investigate pointwise domination property in operator spaces generated by Lorentz sequence spaces


Tipo de documento:Artículo
Palabras clave:Domination property; Lorentz sequence space; Lorentz-Schatten classes; singular numbers
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:15389
Referencias:

R. P. Boas, Majorant problems for trigonometric series. J. Anal. Math. 10(1962/63), 253–271.

F. Cobos and T. Kühn, On a conjecture of Barry Simon on trace ideals. Duke Math. J. 59(1989), 295–299.

A. Córdoba, A counterexample in operator theory. Publ.Mat. 37(1993), 335–338.

M. Déchamps-Gondim, F. Lust-Picard and H. Queffelec, La proprieté du minorant dans C'(H). C. R. Acad. Sci. Paris, S´er. I 295(1982), 657–659.

-On the minorant properties in Cp(H). Pacific J. Math. 119(1985), 89–101.

I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators. Amer. Math.Soc., Providence, RI, 1969.

H. König, Eigenvalue Distribution of Compact Operators. Birkhäuser, Basel, 1986.

V. V. Peller, Hankel operators of class Sp and their applications (rational approximation, Gaussian processes, the problem of majorizing operators). Math. USSR-Sb. 4 (1982), 443–479.

A. Pietsch, Eigenvalues and s-numbers. Cambridge University Press, Cambridge, 1987.

B. Simon, Trace Ideals and Their Applications. Cambridge University Press, Cambridge, 1979.

- Pointwise domination of matrices and comparison of Sp norms. Pacific J. Math. 97(1981), 471–475.

Depositado:28 May 2012 09:05
Última Modificación:06 Feb 2014 10:23

Sólo personal del repositorio: página de control del artículo