V. B. Kiran Kumar

Spectral theorem for compact self-adjoint linear relations with an application to elliptic boundary value problems

We establish a spectral theorem for compact self-adjoint linear relations on a Hilbert space. The proof relies on the Arens decomposition of a closed linear relation into an operator part and a purely multivalued part, reducing the problem directly to the classical spectral theorem for compact self-adjoint operators. N...