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Subjects
47-XX Operator theory
47Axx General theory of linear operators
47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)

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$L_{\infty}$ -Khintchine-Bonami inequality in free probability

Artur Buchholz (1998)

Banach Center Publications

We prove the norm estimates for operator-valued functions on free groups supported on the words with fixed length ( $f = \sum_{| w | = l} a_{w} \otimes λ (w)$ ). Next, we replace the translations by the free generators with a free family of operators and prove inequalities of the same type.

Linearization of regular matrix polynomials.

Lancaster, Peter (2008)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Local polynomials are polynomials

C. Fong, G. Lumer, E. Nordgren, H. Radjavi, P. Rosenthal (1995)

Studia Mathematica

We prove that a function f is a polynomial if G◦f is a polynomial for every bounded linear functional G. We also show that an operator-valued function is a polynomial if it is locally a polynomial.

Currently displaying 1 – 3 of 3