Atıf İçin Kopyala
Mustafayev H.
INTEGRAL EQUATIONS AND OPERATOR THEORY, cilt.92, sa.4, 2020 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
92
Sayı:
4
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Basım Tarihi:
2020
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Doi Numarası:
10.1007/s00020-020-02591-8
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Dergi Adı:
INTEGRAL EQUATIONS AND OPERATOR THEORY
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
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Anahtar Kelimeler:
Hilbert space, Banach space, Compact operator, Toeplitz operator, Composition operator, Model operator, Local spectrum, Operator sequence, Operator average, Convergence
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Van Yüzüncü Yıl Üniversitesi Adresli:
Evet
Özet
Let A, T, and B be bounded linear operators on a Banach space. This paper is concerned mainly with finding some necessary and sufficient conditions for convergence in operator norm of the sequences {A(n)TB(n)} and {1/n Sigma(n-1)(i=0) A(i)TB(i)}. These results are applied to the Toeplitz, composition, and model operators. Some related problems are also discussed.