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http://dx.doi.org/10.4134/BKMS.b151005

RANGE INCLUSION OF TWO SAME TYPE CONCRETE OPERATORS

Nakazi, Takahiko (Hokkaido University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1823-1830 More about this Journal

Abstract

Let H and K be two Hilbert spaces, and let A and B be two bounded linear operators from H to K. We are interested in $RangeB^*{\supseteq}RangeA^*$ . It is well known that this is equivalent to the inequality $A^*A{\geq}{\varepsilon}B^*B$ for a positive constant ${\varepsilon}$ . We study conditions in terms of symbols when A and B are singular integral operators, Hankel operators or Toeplitz operators, etc.

Keywords

singular integral operator; Hankel operator; Toeplitz operator; range inclusion;

Citations & Related Records

Reference

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