Toeplitz Operators, Pseudo-Homogeneous Symbols, and Moment Maps on the Complex Projective Space. (3rd April 2017)

• Record Type: Journal Article
• Authors: Morales-Ramos, Miguel Antonio; Quiroga-Barranco, Raul; Sanchez-Nungaray, Armando
• Other Names: Feichtinger Hans G. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-04-03
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/1730920
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Following previous works for the unit ball due to Nikolai Vasilevski, we define quasi-radial pseudo-homogeneous symbols on the projective space and obtain the corresponding commutativity results for Toeplitz operators. A geometric interpretation of these symbols in terms of moment maps is developed. This leads us to the introduction of a new family of symbols, extended pseudo-homogeneous, that provide larger commutative Banach algebras generated by Toeplitz operators. This family of symbols provides new commutative Banach algebras generated by Toeplitz operators on the unit ball.