Square functions, bounded analytic semigroups, and applications

• Autorzy: Christian Le Merdy
• Języki publikacji: EN

Abstrakty

EN

To any bounded analytic semigroup on Hilbert space or on $L^p$-space, one may associate natural 'square functions'. In this survey paper, we review old and recent results on these square functions, as well as some extensions to various classes of Banach spaces, including noncommutative $L^p$-spaces, Banach lattices, and their subspaces. We give some applications to $H^∞$ functional calculus, similarity problems, multiplier theory, and control theory.

Kategorie tematyczne

• 47D03: Groups and semigroups of linear operators
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 75
• Numer: 1
• Strony: 191-220

Daty

wydano

2007

Twórcy

autor

Christian Le Merdy

• Département de Mathématiques, Université de Franche-Comté, 25030 Besançon Cedex, France

Identyfikatory

DOI

10.4064/bc75-0-12