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    STUDIA MATHEMATICA - Issue no. 4 / 2010  
         
  Article:   BOOK REVIEWS: MANUEL GONZÁLEZ AND ANTONIO MARTÍNEZ-ABEJÓN, TAUBERIAN OPERATORS, XII+245 PP, BIRKHÄUSER, BOSTON -BASEL - BERLIN, 2010, ISBN: 978-3-7643-8997-0, E-ISBN: 978-3-7643-8998-7.

Authors:  VALER ANISIU.
 
       
         
  Abstract:  The historical roots of tauberian operators are explained in Chapter 1, The origins of tauberian operators. The basic properties of tauberian operators, as well as some important characterizations and connections with weakly compact and semi-Fredholm operators, are given in Chapter 2. Tauberian operators. Basic properties, a study continued in chapters 3. Duality and examples of tauberian operators, and 4. Tauberian operators on spaces of integrable functions. Some generalizations of tauberian operators, as well as connections with operator ideals and ultrapower classes of operators are studied in Chapter 6. Tauberian-like operators.  
         
     
         
         
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