Function Spaces and Hilbert Spaces

Related lectures (30)

Page 2 of 3

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

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

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

Explores Hilbert spaces, orthonormal systems, and the Bessel inequality, emphasizing their properties and significance.

Introduces the first step in finding an orthogonal/orthonormal base in a vector space.

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

Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Introduces orthogonal and orthonormal families in vector spaces with scalar products.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.