AN EXTENSION OF KY FAN%26apos;S DOMINANCE THEOREM

作者：Alizadeh Rahim; Asadi Mohammad B^*

来源：Banach Journal of Mathematical Analysis, 2012, 6(1): 139-146.

DOI：10.15352/bjma/1337014672

• s-numbers
• unitarily invariant norm
• Ky Fan norm

We prove that for a separable Hilbert space H with an orthonormal basis {e(i)}(i=1)(infinity), the equality parallel to.parallel to = parallel to Sigma(infinity)(i=1) s(i) (.)e(i) circle times e(i) parallel to holds for all unitarily invariant norms on B(H) and Ky Fan%26apos;s dominance theorem remains valid on B(H).

• 出版日期2012