-compact operators.
A Borel extension approach to weakly compact operators on
Let be a quasicomplete locally convex Hausdorff space. Let be a locally compact Hausdorff space and let , is continuous and vanishes at infinity be endowed with the supremum norm. Starting with the Borel extension theorem for -valued -additive Baire measures on , an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map to be weakly compact.
A characterisation of dilation-analytic operators
A class of integral operators on mixed norm spaces in the unit ball
This article provided some sufficient or necessary conditions for a class of integral operators to be bounded on mixed norm spaces in the unit ball.
A class of pairs of weights related to the boundedness of the Fractional Integral Operator between and Lipschitz spaces
In [P] we characterize the pairs of weights for which the fractional integral operator of order from a weighted Lebesgue space into a suitable weighted and Lipschitz integral space is bounded. In this paper we consider other weighted Lipschitz integral spaces that contain those defined in [P], and we obtain results on pairs of weights related to the boundedness of acting from weighted Lebesgue spaces into these spaces. Also, we study the properties of those classes of weights and compare...
A class of weighted composition operators on
A continuation theorem for holomorphic mapping into a Hilbert space
A continuity in the weak topologies of a vector integral operator.
A counterexample in operator theory
The purpose of this note is to give an explicit construction of a bounded operator T acting on the space L2[0,1] such that |Tf(x)| ≤ ∫01 |f(y)| dy for a.e. x ∈ [0.1], and, nevertheless, ||T||Sp = ∞ for every p < 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.
A geometrical property of causal invertible systems.
A new class of composition operators.
A non-existence theorem for translation invariant operators on weighted L...-spaces.
A Note on a Support of a Linear Mapping
A note on composition operators
A note on continuity of pseudodifferential operators in Hardy spaces.
A note on Howe's oscillator semigroup
Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.
A note on Markov operators and transition systems
On a compact metric space X one defines a transition system to be a lower semicontinuous map . It is known that every Markov operator on C(X) induces a transition system on X and that commuting of Markov operators implies commuting of the induced transition systems. We show that even in finite spaces a pair of commuting transition systems may not be induced by commuting Markov operators. The existence of trajectories for a pair of transition systems or Markov operators is also investigated.
A note on spectra of weighted composition operators on weighted Banach spaces of holomorphic functions.
A note on the almost everywhere convergence of alternating sequences with Dunford-Schwartz operators
A note on the convolution theorem for the Fourier transform
In this paper we characterize those bounded linear transformations carrying into the space of bounded continuous functions on , for which the convolution identity holds. It is shown that such a transformation is just the Fourier transform combined with an appropriate change of variable.