6th Summer Workshop on Operator Theory

9th - 13th July 2018 Kraków

Vladimír Müller

Diagonals of operators and pinching

Let T be a bounded linear operator on a separable Hilbert space H. We will discuss the question what are the possible diagonals (<Tek,ek>) of T with respect to an orthonormal basis (ek) in H. The question will be also discussed for n-tuples of operators, especially for n-tuples of the form (T,T2,…,Tn) where T ∈ B(H).

Similar techniques give also new results for the “pinching” of operators.

The talk is based on joint work with Yu. Tomilov.

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