p. 61 - 69 Pexider Type Quartic Operators and Their Norms in Xλ Spaces Zhihua Wang and Lei Liu Received: May 10, 2011; Accepted: September 6, 2011 Abstract. In this paper, we introduce linear operators and obtain their exact norms defined on the function spaces Xλ and X6λ. These operators are constructed from the quartic functional equations and their Pexider versions. Keywords: Pexiderized quartic operator; operator norm; Xλ spaces. AMS Subject classification: Primary: 47A30, 47B38, 39B52. PDF Compressed Postscript Version to read 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 © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |