Interpolated Tensor Products of Exponential Type Vectors of Unbounded Operators

作     者：Marian Dmytryshyn 

作者机构：Department of Mathematics and Informatics Precarpathian National University 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2014年第4卷第2期

页      面：99-104页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Exponential type vector tensor product interpolation space regular elliptic operator 

摘      要：In this paper we define the tensor products of spaces of exponential type vectors of closed unbounded operators in Banach spaces. Using the real method of interpolation （K-functional） we prove the interpolation theorems that permit to characterize of tensor products of spaces of exponential type vectors, We show an application of abstract results to the theory of regular elliptic operators on bounded domains. For such operators the exponential type vectors are root vectors. Thus we describe the tensor products of root vectors of regular elliptic operators on bounded domains.