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Tensor Product Technique and the Degenerate Homogeneous Abstract Cauchy Problem

Authors: 
A.M. Ziqan
M. Al Horani
R. Khalil
Journal Name: 
JOURNAL OF APPLIED FUNCTIONAL ANALYSIS,
Volume: 
5
Issue: 
1
Pages From: 
121
To: 
138
Date: 
Friday, January 1, 2010
Keywords: 
Tensor product, Banach spaces, degenerate Cauchy problem
Abstract: 
In this paper, we use the technique of tensor product of Banach spaces to study the Abstract Cauchy Problem in Banach spaces. We also introduce semi- diagonal operators on Hilbert spaces and discuss the solution of the Cauchy problem for such operators.