On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth.
On the logarithmic potential defined for a Van Koch curve.
On the Lyapunov equation in Banach spaces and applications to control problems.
On the Mann and Ishikawa iteration processes.
On the maximal Fejér operator for double Fourier series of functions in Hardy spaces
We consider the Fejér (or first arithmetic) means of double Fourier series of functions belonging to one of the Hardy spaces , , or . We prove that the maximal Fejér operator is bounded from or into weak-, and also bounded from into . These results extend those by Jessen, Marcinkiewicz, and Zygmund, which involve the function spaces , , and with 0 < μ < 1, respectively. We establish analogous results for the maximal conjugate Fejér operators. On closing, we formulate two conjectures....
On the maximality of the sum of two maximal monotone operators.
In this paper we deal with the maximal monotonicity of A + B when the two maximal monotone operators A and B defined in a Hilbert space X are satisfying the condition: Uλ ≥ 0 λ (dom B - dom A) is a closed linear subspace of X.
On the Mazur-Orlicz theorem
On the mean ergodic theorem for Cesàro bounded operators
For a Cesàro bounded operator in a Hilbert space or a reflexive Banach space the mean ergodic theorem does not hold in general. We give an additional geometrical assumption which is sufficient to imply the validity of that theorem. Our result yields the mean ergodic theorem for positive Cesàro bounded operators in (1 < p < ∞). We do not use the tauberian theorem of Hardy and Littlewood, which was the main tool of previous authors. Some new examples, interesting for summability theory, are...
On the method of least squares of finding eigenvalues and eigenfunctions of some symmetric operators. II.
On the Metric Geometry of Ideals of Operators on Hubert Space.
On the mild solutions of higher-order differential equations in Banach spaces.
On the minimal displacement of points under mappings
New contributions concerning the minimal displacement of points under mappings (defect of fixed point) are obtained.
On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces.
On the minimax principle for -positive operators (Preliminary communication)
On the minimum time control problem and continuous families of convex sets
On the modulus of one-parameter semigroups.
On the modulus of -convexity.
On the modulus of -convexity of Ji Gao.
On the monotone convergence of implicit Newton-like methods.
On the Moore-Penrose inverse in C*-algebras.
In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta. On the other hand, Moore-Penrose hermitian elements, that is C*-algebra elements which coincide with their Moore-Penrose inverse, are introduced and studied. In fact, these elements will be fully characterized both in the Hilbert space and in the C*-algebra...