On the Dunford-Pettis Property and Banach Spaces that Contain co.
On the Dunford-Pettis property in Banach spaces
On the Dunford-Pettis property of tensor product spaces
We give sufficient conditions on Banach spaces E and F so that their projective tensor product and the duals of their projective and injective tensor products do not have the Dunford-Pettis property. We prove that if E* does not have the Schur property, F is infinite-dimensional, and every operator T:E* → F** is completely continuous, then does not have the DPP. We also prove that if E* does not have the Schur property, F is infinite-dimensional, and every operator T: F** → E* is completely...
On the embedding and diagonalization of matrices over C(X).
On the embedding
On the embedding of 2-concave Orlicz spaces into L¹
In [K-S 1] it was shown that is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence so that the above expression is equivalent to a given Orlicz norm.
On the embedding theorem
On the equality between some classes of operators on Banach lattices
We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.
On the equality of injective and projective tensor products
On the equivalence of Hermitian inner products on topological *-algebras.
On the essential order spectrum
On the evaluation of one-loop Feynman amplitudes in euclidean quantum field theory
On the exact value of Jung constants of Orlicz sequence spaces.
On the existence and regularity of solutions of linear equations in spaces
On the existence and uniqueness of integrable solutions of functional equations in Banach space.
On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
On the existence of almost greedy bases in Banach spaces
We consider several greedy conditions for bases in Banach spaces that arise naturally in the study of the Thresholding Greedy Algorithm (TGA). In particular, we continue the study of almost greedy bases begun in [3]. We show that almost greedy bases are essentially optimal for n-term approximation when the TGA is modified to include a Chebyshev approximation. We prove that if a Banach space X has a basis and contains a complemented subspace with a symmetric basis and finite cotype then X has an...
On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations
On the existence of configurations of subspaces in a Hilbert space with fixed angles.
On the existence of continuous modifications of vector-valued random fields.