Compact operator pdf

limit of compact operators is compacthow to show operator is compact
bounded operator
integral operator is compact
composition of compact operators
finite rank operator is compact
compact operator definition
spectral theorem for compact normal operators

Nonetheless, a satisfactory theory can be developed for so-called compact operators which we now introduce. Definition 5.1 (Compact linear operator). A linear Thus, the identity operator on H is not compact. Here are some examples of compact opera- tors: • Finite rank operators. A bounded linear transformation is said