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Linear operators

Table of contents

Generalizations of the derivative

Integral transforms

Linear functionals

Linear operators in calculus

Transforms

Unitary operators

Bounded operator

Compact operator

Compact operator on Hilbert space

Continuous linear extension

Continuous linear operator

Cyclic and separating vector

Densely defined operator

Dissipative operator

Extensions of symmetric operators

Fredholm kernel

Fredholm operator

Friedrichs extension

Hilbert–Schmidt integral operator

Hilbert–Schmidt operator

Hyponormal operator

Integral linear operator

Limiting absorption principle

Limiting amplitude principle

Normal operator

Nuclear operator

Nuclear operators between Banach spaces

Operational calculus

Paranormal operator

Reflection (mathematics)

Rotation (mathematics)

Self-adjoint operator

Spectral theory of compact operators

Strictly singular operator

Subnormal operator

Toeplitz operator

Trace class

Unbounded operator

Unitary operator

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