Discontinuous linear map

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Related lectures (32)

Quantum Mechanics: Mathematical Framework

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.

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Explores linear maps and linear independence under surjective linear maps.

Induced Homomorphisms on Relative Homology Groups

Covers induced homomorphisms on relative homology groups and their properties.

Change of Basis: Transition Matrices

Covers change of basis, transition matrices, and matrix similarity.

Postulates of Quantum Mechanics

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

The Hessian and Newton's method

Covers the Hessian and Newton's method for optimization using iterative processes.

Functional Analysis I

Covers sublinear functionals, linear functionals extension, and Hahn-Banach theorem.

Singular Values and Norms: Understanding Linear Maps with SVD

Explores singular value decomposition and its role in understanding linear maps.

Linear Operators: Basis Transformation and Eigenvalues

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

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Introduces functional analysis, distribution theory, topological vector spaces, and linear operators, emphasizing their importance in engineering applications.

Functional Analysis I: Spectral Theorem

Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.

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Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

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