Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2x2 Operator Matrix

Details Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2x2 Operator Matrix Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2x2 Operator Matrix

2001-09-15

arxiv.org/abs/math/0109095v1

Operator Theory: Advances and Applications 142 (2003), 117--132

Mathematics

Spectral Theory

Contribution to Proc. of IWOTA-Portugal' 2000, 17 pp

Scientific paper

We construct operators which factorize the transfer function associated with
a non-self-adjoint 2x2 operator matrix whose diagonal entries can have
overlapping spectra and whose off-diagonal entries are unbounded operators.

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