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Featured researches published by Spiros A. Argyros.


arXiv: Functional Analysis | 2006

Methods in Banach Space Theory: Saturated extensions, the attractors method and Hereditarily James Tree Spaces

Spiros A. Argyros; Alexander D. Arvanitakis; Andreas G. Tolias

In the present work we provide a variety of examples of HI Banach spaces containing no reflexive subspace and we study the structure of their duals as well as the spaces of their linear bounded operators. Our approach is based on saturated extensions of ground sets and the method of attractors.


Proceedings of the American Mathematical Society | 2001

A universal property of reflexive hereditarily indecomposable Banach spaces

Spiros A. Argyros

It is shown that every separable Banach space X universal for the class of reflexive Hereditarily Indecomposable space contains C[O, 1] isomorphically and hence it is universal for all separable spaces. This result shows the large variety of reflexive H.I. spaces.


arXiv: Functional Analysis | 1992

COMPLEXITY OF WEAKLY NULL SEQUENCES

Dale E. Alspach; Spiros A. Argyros


Journal of Functional Analysis | 1998

MODIFIED MIXED TSIRELSON SPACES

Spiros A. Argyros; Irene Deliyanni; Denka Kutzarova; A. Manoussakis


arXiv: Functional Analysis | 1992

Banach Spaces Of The Type Of Tsirelson

Spiros A. Argyros; Irene Deliyanni


Houston Journal of Mathematics | 2010

Strictly singular non-compact diagonal operators on HI spaces

Spiros A. Argyros; Irene Deliyanni; Andreas G. Tolias


Archive | 2004

REGULAR AVERAGING AND REGULAR EXTENSION OPERATORS IN WEAKLY COMPACT SUBSETS OF HILBERT SPACES

Spiros A. Argyros; Alexander D. Arvanitakis


Archive | 1997

Examples of asymptotic `1 spaces

Spiros A. Argyros; Irene Deliyanni


Quarterly Journal of Mathematics | 1983

ON THE SPACE OF BOUNDED MEASURABLE FUNCTIONS

Spiros A. Argyros


arXiv: Functional Analysis | 1992

Weakly Lindelof determined Banach spaces not containing

Spiros A. Argyros

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Alexander D. Arvanitakis

National and Kapodistrian University of Athens

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Kevin Beanland

Virginia Commonwealth University

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Antonis Manoussakis

Technical University of Crete

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Pavlos Motakis

National Technical University of Athens

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Sophocles Mercourakis

National and Kapodistrian University of Athens

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Vassilis Kanellopoulos

National Technical University of Athens

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Denka Kutzarova

Bulgarian Academy of Sciences

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