Ryan O’Loughlin (Université Laval)

Title: Symmetric Tensor Products: An Operator Theory Approach

Abstract: Although tensor products and their symmetrisation have appeared in mathematical literature since at least the mid-nineteenth century, they rarely appear in the function-theoretic operator theory literature. This talk will introduce the symmetric and antisymmetric tensor products from an operator theoretic point of view. Results concerning fundamental operator-theoretic questions, such as finding the norm and spectrum of the symmetric tensor products of operators will be presented. If time permits, the properties of the symmetric tensor products of familiar concrete operators, such as unilateral shifts, adjoints of shifts, and diagonal operators will be discussed.

hybrid seminar at Laval, Pavillon Alexandre-Vachon, VCH-3840 (see Zoom link below)

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https://ulaval.zoom.us/j/68099684137?pwd=L2hPdVprdUd3VHZBYkc1aTJFWU13dz09

Meeting ID: 680 9968 4137

Passcode: 025959