Convolution algebras of sequences

• Autorzy: Victor V. Zharinov

Abstrakty

EN

 Abstract: We discuss convolution algebras of sequences from the point of view of differential geometry. In particular, we study their differentiations, i.e., linear mappings satisfying the Leibniz rule, and de Rham cohomologies of differential forms over them. Several model examples are considered. We hope that such geometrical approach will throw light on new additional properties of sequences, known as traditional model objects of functional analysis.

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 44A35: Convolution

Twórcy

autor

Victor V. Zharinov

• Steklov Mathematical Institute, Vavilov St. 42, GSP-1, Moscow, Russia

• Książka: Different aspects of differentiability
• Kolekcja: DML-PL