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- Title
QUASI-RADIAL OPERATORS ON THE WEIGHTED BERGMAN SPACE OVER THE UNIT BALL.
- Authors
GARCÍA, ALMA; VASILEVSKI, NIKOLAI
- Abstract
We study the so-called quasi-radial operators, i.e., the operators that are invariant under the subgroup of the unitary group U(n) formed by the block-diagonal matrices with unitary blocks of fixed dimensions. The quasi-radial Toeplitz operators appear naturally and play a crucial role under the study of the commutative Banach (not C*) algebras of Toeplitz operators [1,8]. They form an intermediate class of operators between the Toeplitz operators with radial a = a(r), r = √|z1|² + ... + |zn|², and separately-radial a = a(|z1|,..., |zn|) symbols.
- Subjects
TOEPLITZ operators; UNITARY groups; BANACH algebras; COMMUTATIVE algebra; OPERATOR theory
- Publication
Communications in Mathematical Analysis, 2014, Vol 17, Issue 2, p178
- ISSN
1938-9787
- Publication type
Article