Unbounded operator

Related lectures (32)

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Explores the matrix representation of operators and basis transformation in linear algebra.

Explores semigroups of linear operators, contraction semigroups, infinitesimal generator, and Riemann integral properties.

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

Introduces linear and bounded operators, compact operators, and the Banach space.

Discusses resolving operators' closedness and injectivity in Banach spaces.

Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.

Explores eigenvalue problems, eigenbasis, spectral theorem, and properties of normal operators.

Explores practical aspects of operator overloading in C++, emphasizing the importance of careful implementation to avoid performance issues.

Explores the verification of PVM properties and the spectral theorem for unbounded operators in quantum mechanics.

Explores the spectral theory of non-bounded operators and the importance of closed operators for spectral decomposition.