Complemented subspace

Related lectures (28)

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Explores polynomial operations, properties, and subspaces in vector spaces.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

Covers the concept of the sum of vector subspaces in an IR-vector space.

Explores the concept of free abelian groups as an important left adjoint functor.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Covers weak derivatives, their properties, and applications in functional analysis.

Covers the existence and uniqueness of direct sums in abelian groups.

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.