Hilbert Spaces: Orthonormal Systems

Related lectures (30)

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Explains orthogonal families, bases, and projections in vector spaces.

Explores Hilbert space, scalar product, geometry, bases, complex functions, and quantum mechanics applications.

Covers the concept of orthogonal bases in vector spaces and Pythagorean theorem applications.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Covers the Gram-Schmidt orthogonalization process and vector projections in a vector space.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Explores orthogonality, triangle inequality, and the Pythagorean theorem in vector spaces.

Explores the geometry of the plane and complex numbers in R².

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.