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We study the interpolation and extrapolation properties of strictly singular operators between different Lp spaces. To this end, the structure of strictly singular non-compact operators between L-p Lq spaces is analyzed. Among other things, we c[...]texto impreso
Gallardo Gutiérrez, Eva A. ; González, María J. ; Nieminen, Pekka J. ; Saksman, Eero | Elsvier | 2008We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H-2. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a[...]texto impreso
We give an algorithm to determine a finite set of generators of the unit group of an order in a non-split classical quaternion algebra H(K) over an imaginary quadratic extension K of the rationals. We then apply this method to obtain a presentat[...]texto impreso
In this paper we present two different results in the context of nonlinear analysis. The first one is essentially a nonlinear technique that, in view of its strong generality, may be useful in different practical problems. The second result, mor[...]texto impreso
We introduce a method to resolve a symplectic orbifold (M, omega) into a smooth symplectic manifold ((M) over tilde,(omega) over tilde). Then we study how the formality and the Lefschetz property of ((M) over tilde,(omega) over tilde) are compar[...]texto impreso
We classify the polynomial vector fields X on C2 which have simply-connected trajectories and satisfy dP(X)=1 for P in C[x,y]. In particular, we obtain that such vector fields are complete and have all its trajectories proper and of type C. [...]
