Segal-type algebraic models ofn–types

Compact Toeplitz operators on Segal–Bargmann type spaces

We consider Toeplitz operators with symbols enjoying a uniform radial limit on Segal–Bargmann type spaces. We show that such an operator is compact if and only if the limiting function vanishes on the unit sphere. The structure of the C∗-algebra generated by Toeplitz operators whose symbols admit continuous uniform radial limits is also analyzed.

1.2 Segal Spaces and Complete Segal Spaces.............................. 11

1.2 Segal Spaces and Complete Segal Spaces.............................. 11

Algebraic Models, Alexander-type Invariants, and Green–lazarsfeld Sets

We relate the geometry of the resonance varieties associated to a commutative differential graded algebra model of a space to the finiteness properties of the completions of its Alexander-type invariants. We also describe in simple algebraic terms the non-translated components of the degree-one characteristic varieties for a class of non-proper complex manifolds.

Algebraic Properties and the Finite Rank Problem for Toeplitz Operators on the Segal-bargmann Space

We study three different problems in the area of Toeplitz operators on the Segal-Bargmann space in C. Extending results obtained previously by the first author and Y.L. Lee, and by the second author, we first determine the commutant of a given Toeplitz operator with a radial symbol belonging to the class Sym>0(C ) of symbols having certain growth at infinity. We then provide explicit examples o...