Daniele Puglisi

Department of Mathematics and Computer Sciences
University of Catania
Viale Andrea Doria, 6
I-95125 Catania CT

Office: 346
Office phone: ++39 095 7383055
Fax: ++39 095 330094

E-mail: dpuglisiunict.it

Research

In

• A. M. Peralta, D. Puglisi; Orthogonally additive Holomorphic functions on C*-algebras. Operators and Matrices. 6 (2012), no. 3, 621-629.

it is proved that a holomorphic function of bounded type form a C*-algebra to the complex field is orthogonally additive if, and only if, it is additive on elements having zeroproduct, if and only if it admit an integral representation involving power series holomorphic functions. Some consideration on non-commutative L_1-space are made.

Those results extend the works made by

• Y. Benyamini, S. Lassalle, and J. G. Llavona, Homogeneous orthogonally additive polynomials on Banach lattices, Bull. London Math. Soc. 38, 3 (2006), 459–469.
• D. Perez, AND I. Villanueva, Orthogonally additive polynomials on spaces of continuous functions, J. Math. Anal. Appl. 306 (2005), 97–105.
• D. Carando, S. Lassalle, AND I. Zalduendo, Orthogonally Additive Holomorphic functions of Bounded Type over C(K) , Proc. of the Edinburgh Math. Soc. 53 (2010), 609–618.

Questions

Back

Home