Cyclic vectors of self-adjoint operators in Hilbert space
Hidayat M. Huseynov
TL;DR
This paper provides a criterion and sufficient conditions to determine when a vector is cyclic for certain self-adjoint operators in Hilbert space, aiding in understanding their spectral properties.
Contribution
It introduces new criteria and conditions for identifying cyclic vectors in self-adjoint operators, advancing spectral theory in Hilbert spaces.
Findings
Established a new criterion for cyclic vectors
Derived sufficient conditions for cyclicity
Enhanced understanding of spectral properties
Abstract
A criterion and sufficient conditions for a vector to be a cyclic vector for a class of self-adjoint operators are obtained.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Matrix Theory and Algorithms · Algebraic and Geometric Analysis