F. Lombarkia and H. Zariouh Received: September 24, 2013; Accepted: April 3, 2014 Abstract. The aim of this paper is to introduce new spectral properties as a continuation of the papers [8], [9], [11], [16], which are variants to the classical a-Browder's and Browder's theorem and we study the relationship between these properties and other Weyl-type theorems. Keywords: Browder's theorem; a-Browder's theorem; property (b). AMS Subject classification: Primary: 47A53, 47A10, 47A11 Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |