On s-numbers, quasi s-numbers, s-moduli and Weyl inequalities of operators in Banach spaces

摘要

In the paper we continue the investigations of the papers (Carl in Proc. Am. Math. Soc. 137:155–159, 2009, and Carl and Hinrichs in Bull. Lond. Math. Soc. 41:332–340, 2009) between s-numbers and eigenvalues of operators in Banach spaces. We introduce new s-numbers as well as quasi s-numbers generated by the classical s-numbers. An elementary mixing multiplicativity observed in (Carl in Proc. Am. Math. Soc. 137:155–159, 2009) will be very useful for establishing Weyl inequalities for operators in Banach spaces.