### Abstract

We consider Toeplitz operators with symbols that are almost periodic matrix functions of several variables. It is shown that under certain conditions on the group generated by the Fourier support of the symbol, a Toeplitz operator is Fredholm if and only if it is invertible.

Original language | English (US) |
---|---|

Pages (from-to) | 1365-1370 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 130 |

Issue number | 5 |

DOIs | |

State | Published - Jan 1 2002 |

### Fingerprint

### Keywords

- Almost periodic functions
- Fredholmness
- Toeplitz operators

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*130*(5), 1365-1370. https://doi.org/10.1090/S0002-9939-01-06276-1

**Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols.** / Rodman, Leiba; Spitkovsky, Ilya; Woerdeman, Hugo J.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 130, no. 5, pp. 1365-1370. https://doi.org/10.1090/S0002-9939-01-06276-1

}

TY - JOUR

T1 - Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols

AU - Rodman, Leiba

AU - Spitkovsky, Ilya

AU - Woerdeman, Hugo J.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We consider Toeplitz operators with symbols that are almost periodic matrix functions of several variables. It is shown that under certain conditions on the group generated by the Fourier support of the symbol, a Toeplitz operator is Fredholm if and only if it is invertible.

AB - We consider Toeplitz operators with symbols that are almost periodic matrix functions of several variables. It is shown that under certain conditions on the group generated by the Fourier support of the symbol, a Toeplitz operator is Fredholm if and only if it is invertible.

KW - Almost periodic functions

KW - Fredholmness

KW - Toeplitz operators

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UR - http://www.scopus.com/inward/citedby.url?scp=0035994094&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-01-06276-1

DO - 10.1090/S0002-9939-01-06276-1

M3 - Article

VL - 130

SP - 1365

EP - 1370

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 5

ER -