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Linear operators

Table of contents

Generalizations of the derivative

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Integral transforms

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Linear functionals

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Linear operators in calculus

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Transforms

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Unitary operators

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Bounded operator

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Compact operator

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Compact operator on Hilbert space

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Continuous linear extension

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Continuous linear operator

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Cyclic and separating vector

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Densely defined operator

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Dissipative operator

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Extensions of symmetric operators

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Fredholm kernel

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Fredholm operator

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Friedrichs extension

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Hilbert–Schmidt integral operator

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Hilbert–Schmidt operator

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Hyponormal operator

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Integral linear operator

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Limiting absorption principle

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Limiting amplitude principle

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Normal operator

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Nuclear operator

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Nuclear operators between Banach spaces

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Operational calculus

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Paranormal operator

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Reflection (mathematics)

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Rotation (mathematics)

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Self-adjoint operator

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Spectral theory of compact operators

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Strictly singular operator

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Subnormal operator

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Toeplitz operator

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Trace class

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Unbounded operator

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Unitary operator

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