Linear Topological Spaces and Linear Operators

  • A. A. Kirillov
  • A. A. Gvishiani
Part of the Problem Books in Mathematics book series (PBM)


We shall consider linear spaces L over the fields R and C. In cases when a statement does not depend on the choice of field, we write K instead of R or C. If A and B are two subsets of L and λ and μ are two numbers in K, then λA + μB denotes the set of elements z ∈ L of the form λx -I- μy, where x ∈ A, y ∈ B.


Hilbert Space Banach Space Linear Operator Compact Operator Weak Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • A. A. Kirillov
    • 1
  • A. A. Gvishiani
    • 2
  1. 1.Mathemathics DepartmentMoscow State UniversityMoscowUSSR
  2. 2.Applied Mathemathics LaboratoryInstitute of Earth Physics of the Academy of Sciences of the USSRMoscowUSSR

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