Some linear topological properties of the spaces of operators on Hilbert space
Some logarithmic function spaces, entropy numbers, applications to spectral theory [Book]
Some metric and topological properties of certain linear spaces of measurable functions
Some orthogonal decompositions of Sobolev spaces and applications
Two kinds of orthogonal decompositions of the Sobolev space W̊₂¹ and hence also of for bounded domains are given. They originate from a decomposition of W̊₂¹ into the orthogonal sum of the subspace of the -solenoidal functions, k ≥ 1, and its explicitly given orthogonal complement. This decomposition is developed in the real as well as in the complex case. For the solenoidal subspace (k = 0) the decomposition appears in a little different form. In the second kind decomposition the -solenoidal...
Some problems arising from prediction theory and a theorem of Kolmogorov.
Some properties of the vector-valued Banach ideal space E(X) derived from those of E and X.
Some Remarks on Inequalities of Landau and Kolmogorov.
Some remarks on Orlicz's interpolation theorem
Some remarks on strong factorization of tent spaces
We provide new assertions on factorization of tent spaces.
Some remarks on strong (M,φ)-summability
Some remarks on subspaces on Orlicz spaces of vector-valued finitely additive functions
Some remarks on symmetric basic sequences in L1
Some remarks on the asymptotic behaviour of the iterates of a bounded linear operator
We discuss the problem of characterizing the possible asymptotic behaviour of the norm of the iterates of a bounded linear operator between two Banach spaces. In particular, given an increasing sequence of positive numbers tending to infinity, we construct Banach spaces such that the norm of the iterates of a suitable multiplication operator between these spaces assumes (or exceeds) the values of this sequence.
Some remarks on the space .
Some remarks on ultrapowers and superproperties of the sum and interpolation spaces of Banach spaces
Some remarks on variational problems for functionals with growth
Some results on intersection properties of balls in complex Banach spaces
Some results on norm attaining bilinear forms on L1[0,1].
We characterize the norm attaining bilinear forms on L1[0,1], and show that the set of norm attaining ones is not dense in the space of continuous bilinear forms on L1[0,1].
Some results on packing in Orlicz sequence spaces
We present monotonicity theorems for index functions of N-fuctions, and obtain formulas for exact values of packing constants. In particular, we show that the Orlicz sequence space generated by the N-function N(v) = (1+|v|)ln(1+|v|) - |v| with Luxemburg norm has the Kottman constant , which answers M. M. Rao and Z. D. Ren’s [8] problem.
Some results on symmetric subspaces of