Fredholm and spectral properties of Toeplitz operators on H{sup p} spaces over ordered groups

Journal Article · Tue May 31 00:00:00 EDT 2011 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2011V202N05ABEH004163; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21592548

Mirotin, Adolf R ^[1]

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1. Gomel State University, Gomel (Belarus)

We consider Toeplitz operators on the spaces H{sup p}(G), 1< p<{infinity}, associated with a compact connected Abelian group G whose character group is ordered and, in the case of total order, prove a theorem on the Fredholm index for those operators which have continuous symbols which generalizes the classical Gohberg-Krein theorem. The results thus obtained are applied to the spectral theory of Toeplitz operators and examples where the index is evaluated explicitly are considered. Bibliography: 22 titles.

• OSTI ID: 21592548
• Journal Information: Sbornik. Mathematics, Vol. 202, Issue 5; Other Information: DOI: 10.1070/SM2011v202n05ABEH004163; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
GROUP THEORY
INDEXES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MEASURE THEORY
DOCUMENT TYPES
MATHEMATICS
SPACE