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10 papers · 1 filter
A weak Hilbert space with few symmetries
Spiros A. Argyros, Kevin Beanland, Theocharis Raikoftsalis
We construct a weak Hilbert Banach space such that for every block subspace every bounded linear operator on Y is of the form D+S where S is a strictly singular operator and D…
Hausdorff Measures and Functions of Bounded Quadratic Variation
D. Apatsidis, S. A. Argyros, V. Kanellopoulos
To each function of bounded quadratic variation () we associate a Hausdorff measure . We show that the map is locally Lipschitz and onto the positive c…
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…