Norm attaining operators
Norm continuity of -semigroups
We show that a positive semigroup on with generator A and ||R(α + i β)|| → 0 as |β| → ∞ for some α ∈ ℝ is continuous in the operator norm for t>0. The proof is based on a criterion for norm continuity in terms of “smoothing properties” of certain convolution operators on general Banach spaces and an extrapolation result for the -scale, which may be of independent interest.
Norm inequalities for integral operators on cones
Norms of composition operators on the Hardy space.
Norms of Harmonic Projection Operators on Compact Lie Groups.
Note on pointwise contractive projections.
Note on the strong maximal operator
Numerical Algorithms for the Nevanlinna-Pick Problem.
Numerical index of vector-valued function spaces
We show that the numerical index of a -, -, or -sum of Banach spaces is the infimum of the numerical indices of the summands. Moreover, we prove that the spaces C(K,X) and (K any compact Hausdorff space, μ any positive measure) have the same numerical index as the Banach space X. We also observe that these spaces have the so-called Daugavet property whenever X has the Daugavet property.
O integralnoj reprezentaciji linearnog operatora
O спектре операторов в идеальных пространствах
Omnipresent holomorphic operators and maximal cluster sets
On a class of operators on Orlicz spaces
On a singular integral
On a tensor product of weakly compact mappings
On a theorem of H. P. Lotz on quasi-compactness of Markov operators
On an integral operator on the unit ball in .
On an integral-type operator from Privalov spaces to Bloch-type spaces
Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator , f ∈ H(B). The boundedness and compactness of from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied
On asymptotic cyclicity of doubly stochastic operators
It is proved that a doubly stochastic operator P is weakly asymptotically cyclic if it almost overlaps supports. If moreover P is Frobenius-Perron or Harris then it is strongly asymptotically cyclic.
On boundedness of superposition operators in spaces of Triebel-Lizorkin type