Ultraweakly compact operators and dual spaces

Teresa Alvarez

Bollettino dell'Unione Matematica Italiana (2004)

  • Volume: 7-B, Issue: 3, page 697-711
  • ISSN: 0392-4041

Abstract

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In this paper, the class of all bounded ultraweakly compact operators in Banach spaces is introduced and characterised in terms of their first and second conjugates. We analize the relationship between an ultraweakly compact operator and its conjugate. Examples of operators belonging to this class are exhibited. We also investigate the connection between ultraweak compactness of T ∈ L ⁢ X , Y and minimal subspaces of Y ′ and we present a result of factorisation for ultraweakly compact operators.

How to cite

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Alvarez, Teresa. "Ultraweakly compact operators and dual spaces." Bollettino dell'Unione Matematica Italiana 7-B.3 (2004): 697-711. <http://eudml.org/doc/194973>.

@article{Alvarez2004,
abstract = {In this paper, the class of all bounded ultraweakly compact operators in Banach spaces is introduced and characterised in terms of their first and second conjugates. We analize the relationship between an ultraweakly compact operator and its conjugate. Examples of operators belonging to this class are exhibited. We also investigate the connection between ultraweak compactness of $T\in L(X, Y)$ and minimal subspaces of $Y'$ and we present a result of factorisation for ultraweakly compact operators.},
author = {Alvarez, Teresa},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {697-711},
publisher = {Unione Matematica Italiana},
title = {Ultraweakly compact operators and dual spaces},
url = {http://eudml.org/doc/194973},
volume = {7-B},
year = {2004},
}

TY - JOUR
AU - Alvarez, Teresa
TI - Ultraweakly compact operators and dual spaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2004/10//
PB - Unione Matematica Italiana
VL - 7-B
IS - 3
SP - 697
EP - 711
AB - In this paper, the class of all bounded ultraweakly compact operators in Banach spaces is introduced and characterised in terms of their first and second conjugates. We analize the relationship between an ultraweakly compact operator and its conjugate. Examples of operators belonging to this class are exhibited. We also investigate the connection between ultraweak compactness of $T\in L(X, Y)$ and minimal subspaces of $Y'$ and we present a result of factorisation for ultraweakly compact operators.
LA - eng
UR - http://eudml.org/doc/194973
ER -

References

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