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TZID:America/Chicago
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DTSTART:20201101T020000
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
RDATE:20211107T020000
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BEGIN:DAYLIGHT
DTSTART:20210314T020000
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BEGIN:VEVENT
UID:calendar.24594.field_event_date_2.0@math.wustl.edu
CREATED:20210120T210257Z
DESCRIPTION:Abstract: In this talk, we will look at 2 questions about cycl
ic functions in a space X :-\n\n1) Given f and g cyclic in X, such that t
heir product fg lies in X, is fg also cyclic?\n\n2) Given an f in X such
that 1/f lies in X, is f cyclic?\n\nA famous result of Borichev and Heden
malm shows that the answer to question 2 is negative for the Bergman space
. Building on the same ideas, we will discuss these questions in the sett
ing of complete Pick spaces. Examples of complete Pick spaces include the
Dirichlet space and the Drury-Arveson space. The answers to 1 and 2 are kn
own to be affirmative in both these spaces, but the proofs do not easily
generalize to all complete Pick spaces. Using some recent results about th
e structure of functions in complete Pick spaces, we show that the answer
for 1 and 2 is affirmative if we consider multiplier-cyclic functions, i
.e. f such that fM is a dense subspace of X, where M is the multiplier al
gebra of X.\n\nHost: John McCarthy
DTSTART;TZID=America/Chicago:20210419T150000
DTEND;TZID=America/Chicago:20210419T160000
LAST-MODIFIED:20210415T155251Z
SUMMARY:Analysis Seminar: 'Multiplicity of cyclic functions'
URL;TYPE=URI:https://math.wustl.edu/events/analysis-seminar-multiplicity-cy
clic-functions
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