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Hilbert space

Hilbert space

Medium
10 Sections
Sections
1

Introduction to Hilbert Spaces

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2

Inner Products and Norms

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3

Orthogonality and Orthogonal Complements

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4

Complete Orthonormal Sets and Bases

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5

Projection Theorems and Best Approximations

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6

Bounded Linear Operators on Hilbert Spaces

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7

Spectral Theorem for Compact Self-Adjoint Operators

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8

Adjoint Operators and Unitary Operators

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9

Applications of Hilbert Spaces in Quantum Mechanics

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10

Advanced Topics: Reproducing Kernel Hilbert Spaces

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