HK Spaces with AD Property

HK Spaces with AD Property

Abdallah A. Hakawati

Department of Mathematics, An-Najah N. University

Received : 00-00-0000 , Accepted : 00-00-0000

Language: English

Abstract

If H is an HK space which has AD property, then we define the matrix A(H)= (amn) as am=<>H. We prove that A(H) is uniquely determined by H , and hence conclude that there is a one - to - one map between the collection of all HK spaces which have AD, and that of all matrices which are positive definite and Hermitian. Finally, we calculate A(H2|w) where W={dn} is an interpolating sequence.

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