Skip to main content
Przejdź do strony domowej Komisji Europejskiej (odnośnik otworzy się w nowym oknie)
polski pl
CORDIS - Wyniki badań wspieranych przez UE
CORDIS
Zawartość zarchiwizowana w dniu 2024-06-18

Operator-algebraic geometry in the unit ball

Cel

In this project, I plan to study the interaction between operator theory, function theory and algebraic geometry in some reproducing kernel Hilbert spaces (and their multiplier algebras), which live on subvarieties of the unit ball. The reproducing kernel Hilbert spaces (RKHSs) that I shall consider in this project are the quotients of Drury-Arveson space by a radical, homogeneous ideal.

I plan to address four main problems. First, I plan to compute the essential norm of the continuous multipliers on these RKHSs. Second, I plan to compute the C*-envelope of the operator algebra given by the image of the continuous multipliers on a RKHS in the Calkin algebra of that RKHS. Third, I plan to prove an effective Hilbert's Basis Theorem by showing that every radical homogeneous ideal has the stable division property. Finally, I plan to use the above results to prove some versions of Arveson's conjecture, which states that every quotient of the Drury-Arveson space by a graded submodule is essentially normal.

Dziedzina nauki (EuroSciVoc)

Program(-y)

Temat(-y)

Zaproszenie do składania wniosków

FP7-PEOPLE-2012-CIG
Zobacz inne projekty w ramach tego zaproszenia

System finansowania

MC-CIG - Support for training and career development of researcher (CIG)

Koordynator

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Wkład UE
€ 47 916,67
Koszt całkowity
Brak danych

Uczestnicy (1)