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6 papers · 1 filter
Hereditarily Indecomposable Banach algebras of diagonal operators
Spiros A. Argyros, Irene Deliyanni, Andreas G. Tolias
We provide a characterization of the Banach spaces with a Schauder basis which have the property that the dual space is naturally isomorphic to t…
Factorizations of EP operators
Dimosthenis Drivaliaris, Sotirios Karanasios, Dimitrios Pappas
In this paper we characterize EP operators through the existence of different types of factorizations. Our results extend to EP operators existing characterizations for EP matrices…
Hilbert space structure and positive operators
D. Drivaliaris, N. Yannakakis
Let X be a real Banach space. We prove that the existence of an injective, positive, symmetric and not strictly singular operator from X into its dual implies that either X admits…
Generalizations of the Lax-Milgram theorem
D. Drivaliaris, N. Yannakakis
We prove a linear and a nonlinear generalization of the Lax-Milgram theorem. In particular we give sufficient conditions for a real-valued function defined on the product of a refl…
Subspaces with a common complement in a Banach space
D. Drivaliaris, N. Yannakakis
We study the problem of the existence of a common algebraic complement for a pair of closed subspaces of a Banach space. We prove the following two characterizations: (1) The pairs…
Minimality properties of Tsirelson type spaces
Denka Kutzarova, Denny Leung, Antonis Manoussakis +1
In this paper, we study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis (e_k) is said to be subsequentially minimal if for e…