A. Akinyele, Christiana Funmilayo Ozokeraha, Shuayb Adedeji Oshodi, J. Omosowon
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引用次数: 0
摘要
本研究介绍了广义空间中的欧米伽-阶保留部分收缩映射（omega-OCPn）的结果。假定omega-OCPn中的A是Banach空间X上的封闭线性算子，且具有非空解析集rho(A)。如果 A 是密集定义的，外推空间 X-1 和 X-1 将与 A 一致。但是，如果 A 不是密集定义的，X-1 就是 X-1 的一个适当的封闭子空间。然后，我们证明了这些空间存在的原因是 (X*)-1 和 D(A0) 分别与 (X*)-1 和 (X*)-1 自然同构。
Results of semigroup of linear operators in extrapolation spaces
Results of an omega-order preserving partial contraction mapping (omega-OCPn) in generalized spaces are presented in this study. Assumed to be a closed linear operator on a Banach space X with a non-empty resolvent set rho(A) is A in omega-OCPn. If A is densely defined, the extrapolation spaces X-1 and X-1 will be associated with A in agreement. However, X-1 is a proper closed subspace of X-1 if A is not densely defined. Then, we demonstrated that the reason these spaces exist is because (X*)-1 and D(A0) are naturally isomorphic to (X*)-1 and (X*)-1, respectively.
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