Some applications of Banach algebra techniques | Zendy

Karaev M. | Zendy; Gürdal M. | Zendy; Saltan S. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Some applications of Banach algebra techniques

Author(s) -

Karaev M.,

Gürdal M.,

Saltan S.

Publication year - 2011

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200910129

Subject(s) - mathematics , banach algebra , lp space , pure mathematics , approximation property , eigenvalues and eigenvectors , banach space , algebra over a field , convolution (computer science) , spectrum (functional analysis) , characterization (materials science) , product (mathematics) , finite rank operator , physics , materials science , geometry , quantum mechanics , machine learning , artificial neural network , computer science , nanotechnology

We consider some functional Banach algebras with multiplications as the usual convolution product * and the so‐called Duhamel product ⊛. We study the structure of generators of the Banach algebras ( C ( n ) [0, 1], *) and ( C ( n ) [0, 1], ⊛). We also use the Banach algebra techniques in the calculation of spectral multiplicities and extended eigenvectors of some operators. Moreover, we give in terms of extended eigenvectors a new characterization of a special class of composition operators acting in the Lebesgue space L p [0, 1] by the formula ( C φ f )( x ) = f (φ( x )).

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research