Product of matrix valued truncated Toeplitz operators
Copyright policy )Product of matrix valued truncated Toeplitz operators
Let $A_\Phi$ be a matrix valued truncated Toeplitz operator -- the compression of multiplication operator to the vector valued model space $H^2(E)\ominus \Theta H^2(E)$, where $\Theta$ is a matrix valued non constant inner function. Under supplementary assumptions, we find necessary and sufficient condition that the product $A_\Phi A_\Psi$ is itself a matrix valued truncated Toeplitz operator.
- University of Sialkot Pakistan
- University of Kotli, Azad Jammu and Kashmir Pakistan
Matematik, model spaces, Mathematical Sciences, Functional Analysis (math.FA), truncated Toeplitz operator, Mathematics - Functional Analysis, model spaces;truncated Toeplitz operator;inner function, Mathematics - Quantum Algebra, Toeplitz operators, Hankel operators, Wiener-Hopf operators, FOS: Mathematics, Quantum Algebra (math.QA), inner function
Matematik, model spaces, Mathematical Sciences, Functional Analysis (math.FA), truncated Toeplitz operator, Mathematics - Functional Analysis, model spaces;truncated Toeplitz operator;inner function, Mathematics - Quantum Algebra, Toeplitz operators, Hankel operators, Wiener-Hopf operators, FOS: Mathematics, Quantum Algebra (math.QA), inner function
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