A note on composition operators
A note on composition operators on spaces of real analytic functions
We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.
A note on continuity of pseudodifferential operators in Hardy spaces.
A note on continuous restrictions of linear maps between Banach spaces.
A note on convergence of semigroups
Convergence of semigroups which do not converge in the Trotter-Kato-Neveu sense is considered.
A note on Dirac operators
A Note on Eigenvalue Problems with Eigenvalue Parameter in the Boundary Conditions.
A note on eigenvalues of ordinary differential operators.
In this follow-up on the work of Fefferman-Seco [FS] an improved condition for the discrete eigenvalues of the operator -d2 / dx2 + V(x) is established for V(x) satisfying certain hypotheses. The eigenvalue condition in [FS] establishes eigenvalues of this operator to within a small error. Through an obervation due to C. Fefferman, the order of accuracy can be improved if a certain condition is true. This paper improves on the result obtained in [FS] by showing that this condition does indeed hold....
A note on embedding into product spaces
Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.
A note on extreme contractions on -spaces
A note on fixed point theorem of Schauder type with applications
A note on general dilation theorems
A note on generalized fractional integral operators on generalized Morrey spaces.
A note on generalized projections in c₀
Let V ⊂ Z be two subspaces of a Banach space X. We define the set of generalized projections by . Now let X = c₀ or , Z:= kerf for some f ∈ X* and (n < m). The main goal of this paper is to discuss existence, uniqueness and strong uniqueness of a minimal generalized projection in this case. Also formulas for the relative generalized projection constant and the strong uniqueness constant will be given (cf. J. Blatter and E. W. Cheney [Ann. Mat. Pura Appl. 101 (1974), 215-227] and G. Lewicki...
A note on geometric characterization of Fréchet differentiability
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 implicit functions in locally convex spaces.
A note on joint capacities in Banach algebras
A note on -positive operators
A note on Kakutani type fixed point theorems.