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Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.

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Boundness and adjoint of an integration operator

Let's define the operator $K$ as $$ \begin{eqnarray*} K :&H&\longrightarrow &\;\:Z&\\ &y\left( x;\sigma \right) &\mapsto &\!\!\!\!\int_{0}^{1}C\left( \sigma \right) y\left( x;\sigma \right) d\sigma& …
Abdelhak Hafdallah's user avatar