Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces

Details Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces

2012-01-10

arxiv.org/abs/1201.2147v1

Integral Equations Operator Theory 71 (2011), no. 2, 225-243

Mathematics

Operator Algebras

Scientific paper

10.1007/s00020-011-1897-9

We prove the existence of commutative $C^*$-algebras of Toeplitz operators on every weighted Bergman space over the complex projective space $\mathbb{P}^n(\mathbb{C})$. The symbols that define our algebras are those that depend only on the radial part of the homogeneous coordinates. The algebras presented have an associated pair of Lagrangian foliations with distinguished geometric properties and are closely related to the geometry of $\mathbb{P}^n(\mathbb{C})$.

Affiliated with

Also associated with

No associations

Rating

Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463877