A Banach space with a symmetric basis which contains no or , and all its symmetric basic sequences are equivalent
A Characteriaztion of Conjugate WCG Banach Spaces.
A Characterization of M-Bases.
A characterization of the spherically complete normed spaces with a distinguished basis
A Characterization of Totally Reflexive Fréchet Spaces.
A class of precompact sets in Banach spaces.
A Compact Operator Characterization of l1.
A conditional quasi-greedy basis of l₁
We show that the Lindenstrauss basic sequence in l₁ may be used to construct a conditional quasi-greedy basis of l₁, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.
A construction of a base for the m fold tensor product of a Banach space.
A continuum of totally incomparable hereditarily indecomposable Banach spaces
A family is constructed of cardinality equal to the continuum, whose members are totally incomparable hereditarily indecomposable Banach spaces.
A Hahn-Banach Theorem in Conjugate Banach Spaces.
A local characterization of Banach lattices with order continuous norm
A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions
A Natural Class of Sequential Banach Spaces
We introduce and study a natural class of variable exponent spaces, which generalizes the classical spaces and c₀. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. Some geometric examples are constructed by using these spaces.
A New Dichotomy for Banach Spaces.
A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing
A note of -basis
A note on Banach spaces without the approximation property
A Note on Equivalent Extended Bases.
A note on fusion Banach frames
For a fusion Banach frame for a Banach space , if is a fusion Banach frame for , then is called a fusion bi-Banach frame for . It is proved that if has an atomic decomposition, then also has a fusion bi-Banach frame. Also, a sufficient condition for the existence of a fusion bi-Banach frame is given. Finally, a characterization of fusion bi-Banach frames is given.