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Modern approaches to the invariant-subspace problem /

"One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that...

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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Chalendar, Isabelle, Partington, Jonathan R. (مؤلف)
التنسيق: Printed Book
اللغة:English
منشور في: Cambridge, UK ; New York : Cambridge University Press, 2011.
سلاسل:Cambridge tracts in mathematics ; 188.
الموضوعات:
الوصول للمادة أونلاين:Cover image
جدول المحتويات:
  • The operator-valued Poisson kernel and its applications
  • Properties (An,m) and factorization of integrable functions
  • Polynomially bounded operators with rich spectrum
  • Beurling algebras
  • Applications of a fixed-point theorem
  • Minimal vectors
  • Universal operators
  • Moment sequences and binomial sums
  • Positive and strictly-singular operators.