Dimensions of the Kernels of linear operators and their algebraic adjoints
Copyright policy )Dimensions of the Kernels of linear operators and their algebraic adjoints
Summary: We study the kernels of a linear operator and its algebraic adjoint by studying their restriction on a subspace, a Banach space, such that the restriction is the difference of the identity and a compact operator under some conditions, and therefore some results on compact operator theory can be applied. As an example, we study the \(M\)-scale subdivision operators.
- Academia Sinica Taiwan
algebraic adjoint, \(M\)-scale subdivision operators, kernels of a linear operator, Linear operators defined by compactness properties, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), compact operator
algebraic adjoint, \(M\)-scale subdivision operators, kernels of a linear operator, Linear operators defined by compactness properties, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), compact operator
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