ACTA issues

Weyl's theorem and Putnam's inequality for class $p$-$wA(s,t)$ operators

M. H. M. Rashid, Muneo Ch?, T. Prasad, Kotaro Tanahashi, Atsushi Uchiyama

Acta Sci. Math. (Szeged) 84:3-4(2018), 573-589

Abstract. In this paper, we study spectral properties of class $p$-$wA(s,t)$ operators with $0< p\leq1$ and $0< s,t,s+t\leq1$. We show that Weyl's theorem and Putnam's inequality hold for class $p$-$wA(s,t)$ operators.

DOI: 10.14232/actasm-017-020-y

AMS Subject Classification (1991): 47A10, 47A20, 47B20

Keyword(s): class $p$-$wA(s, t)$, normaloid, reguloid, Weyl's theorem, Putnam's inequality

Received March 28, 2017, and in revised form November 24, 2017. (Registered under 20/2017.)