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Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Review: On Rank One Perturbations Of Complex Symmetric Operators, Stephan Ramon Garcia
Review: On Rank One Perturbations Of Complex Symmetric Operators, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
Review: A C*-Algebra Approach To Complex Symmetric Operators, Stephan Ramon Garcia
Review: A C*-Algebra Approach To Complex Symmetric Operators, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
Mathematical And Physical Aspects Of Complex Symmetric Operators, Stephan Ramon Garcia, Emil Prodan, Mihai Putinar
Mathematical And Physical Aspects Of Complex Symmetric Operators, Stephan Ramon Garcia, Emil Prodan, Mihai Putinar
Pomona Faculty Publications and Research
Recent advances in the theory of complex symmetric operators are presented and related to current studies in non-hermitian quantum mechanics. The main themes of the survey are: the structure of complex symmetric operators, C-selfadjoint extensions of C-symmetric unbounded operators, resolvent estimates, reality of spectrum, bases of C-orthonormal vectors, and conjugate-linear symmetric operators. The main results are complemented by a variety of natural examples arising in field theory, quantum physics, and complex variables.
Review: Unitary Equivalence To Truncated Toeplitz Operators, Stephan Ramon Garcia
Review: Unitary Equivalence To Truncated Toeplitz Operators, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
Complex Symmetric Operators And Applications, Stephan Ramon Garcia, Mihai Putinar
Complex Symmetric Operators And Applications, Stephan Ramon Garcia, Mihai Putinar
Pomona Faculty Publications and Research
We study a few classes of Hilbert space operators whose matrix representations are complex symmetric with respect to a preferred orthonormal basis. The existence of this additional symmetry has notable implications and, in particular, it explains from a unifying point of view some classical results. We explore applications of this symmetry to Jordan canonical models, self-adjoint extensions of symmetric operators, rank-one unitary perturbations of the compressed shift, Darlington synthesis and matrix-valued inner functions, and free bounded analytic interpolation in the disk.