On some applications of Duhamel product

M. T. Karaev; H. Tuna†

doi:10.1080/03081080512331318481

Back

Journal article

Peer reviewed

On some applications of Duhamel product

M. T. Karaev and H. Tuna†

Linear & multilinear algebra, Vol.54(4), pp.301-311

01/07/2006

DOI: https://doi.org/10.1080/03081080512331318481

Abstract

AMS Subject Classification

Banach algebra

Commutant

Duhamel product

Extended eigenvalue

Extended eigenvector

Maximal ideal

Primary 47B47

Let denote the algebra of all n-times continuously differentiable functions on which are holomorphic on the unit disc : . We prove that is a Banach algebra with multiplication as Duhamel product and describe its maximal ideal space. We also describe the commutant and strong cyclic vectors of the integration operator . Using the Duhamel product we also study the extended eigenvalues and the corresponding extended eigenvectors of the integration operator .

Metrics

1 Record Views

Details

Title: On some applications of Duhamel product
Creators - without role: M. T. Karaev - Süleyman Demirel University
H. Tuna† - Suleyman Demirel University , Faculty of Arts and Sciences, Department of Mathematics
Publication Details: Linear & multilinear algebra, Vol.54(4), pp.301-311
Publisher: Taylor & Francis Group
Identifiers: 9949307908331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article