Constructive Compact Linear Mappings
Copyright policy )Constructive Compact Linear Mappings
We deal with compact linear mappings of a normed linear space, within the framework of Bishop's constructive mathematics. We prove the constructive substitutes for the classically well known theorems on compact linear mappings: T is compact if and only if \(T^*\) is compact; if S is bounded and if T is compact, then TS is compact; if S and T is compact, then \(S+T\) is compact.
- Hiroshima University Japan
Constructive functional analysis, compact linear mappings of a normed linear space, Bishop's constructive mathematics, Other constructive mathematics, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
Constructive functional analysis, compact linear mappings of a normed linear space, Bishop's constructive mathematics, Other constructive mathematics, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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