Semi-Fredholm Toeplitz operators on the space of real analytic functions
被引:6
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作者:
Jasiczak, Michal
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机构:
Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, PolandAdam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland
Jasiczak, Michal
[1
]
机构:
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland
Toeplitz operator;
real analytic;
Fredholm;
semi-Fredholm;
Cauchy transform;
MULTIPLIERS;
D O I:
10.4064/sm170810-23-5
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We investigate Toeplitz operators on the space of real analytic functions on the real line. We completely characterize semi-Fredholm Toeplitz operators in terms of vanishing of their symbol.
机构:
Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Umultowska 87, PL-61614 Poznan, PolandAdam Mickiewicz Univ, Fac Math & Comp Sci, Ul Umultowska 87, PL-61614 Poznan, Poland
机构:
Univ Cantabria, Fac Ciencias, Dept Matemat, E-39071 Santander, SpainUniv Cantabria, Fac Ciencias, Dept Matemat, E-39071 Santander, Spain
Gonzalez, Manuel
Pello, Javier
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机构:
Univ Rey Juan Carlos, Escuela Super Ciencias Expt & Tecnol, Dept Matemat Aplicada, E-28933 Mostoles, SpainUniv Cantabria, Fac Ciencias, Dept Matemat, E-39071 Santander, Spain
机构:
Univ Cantabria, Dept Math, Santander 39071, SpainUniv La Laguna, Dept Math Anal, San Cristobal la Laguna 38271, Tenerife, Spain
Gonzalez, Manuel
Martinon, Antonio
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机构:
Univ La Laguna, Dept Math Anal, San Cristobal la Laguna 38271, Tenerife, SpainUniv La Laguna, Dept Math Anal, San Cristobal la Laguna 38271, Tenerife, Spain