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Lecture
Symmetric Linear Operators
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Related lectures (32)
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Quantum Mechanics Basics
Covers the basics of quantum mechanics, focusing on Hamiltonian operator and Schrödinger equations.
Spectral Theorem for Operators
Explores the spectral theorem for operators in a Hilbert space.
Dual Spaces: Definitions and Properties
Covers the definitions and properties of dual spaces and linear operators.
Linear Operators: Motivation in Quantum Mechanics
Explores the motivation for studying linear operators in Quantum Mechanics, emphasizing their essential role and practical applications.
Functional Analysis I
Covers eigenvectors, spectral theorems, and finite sequences in functional analysis.
Essential Operators: Spectrum and Resolvent Set
Covers the essential concepts of adjoint operators, spectrum, and resolvent sets in operator theory.
Linear Operators: Boundedness and Spaces
Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.
Resolving Operators: Closedness and Injectivity
Discusses resolving operators' closedness and injectivity in Banach spaces.
Functional Analysis I: Spectral Theorem
Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.
Linear Algebra: Vector Spaces & Operators
Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.