Aug 10, 2014 - gives injective nonsurjective operators on lâ that have dense range. .... M-basis can span any given countable dimensional dense subspace of ...
Sep 12, 2016 - X, Y we denote by L(X, Y ) the space of all bounded linear operators from ... result [4] that every linear continuous operator from âp to âq must be ...
Oct 24, 2010 - It is clear that Fk( · ) is a bounded linear functional on Lp[Rn] for each k, ...... and Trunk [STT] define a bounded linear operator A, on a Hilbert ...
groups appear in the article by Martinez in the modern jacket of frames. .... Recall that a field F is said to be real-closed if its smallest algebraic extension ..... The one-point compactification αD of an infinite discrete space D is a ...... arou
Jan 26, 2013 - Ir1,r2,...,rkn = [r1c1,n + r2c2,n + ··· + rkn ckn,n,r1c1,n + r2c2,n + ··· + rkn ckn,n + ξn], where r1,...,rkn are nonnegative integers belonging to [0,hn].
WILLIAM E. HORNOR AND JAMES E. JAMISON .... and that each component function Fij is in Lpij (X,Σ, µ,C), 1 ⤠pi,j ⤠â. Then ..... [3] J. Campbell and J. Jamison, On some classes of weighted composition operators, Glasgow. Math. J. 32 ...
COMPOSITION OPERATORS ON SMALL SPACES. BOO RIM CHOE, HYUNGWOON KOO, AND WAYNE SMITH. Abstract. We show that if a small holomorphic ...
We study the commutators of operators on a Banach space X to gain insight into the ... braic generalization of Halmos's theorem that each operator on an infinite-.
Let X and Y be weak hypervector spaces and Lw(X, Y ) be the set of all weak linear operators from X into Y . We prove some algebraic properties of Lw(X, Y ).
Dedicated to Professor Julian Musielak, on the occasion of his 70th birthday. 1. Introduction. The classical Riesz's representation theorem permits to represent ...
Jan 29, 2009 - and its inverse will serve to define a Casimir operator. ...... We recall the definition of the Hopf â-algebra A(SUq(l + 1)), deformation of the ...
Oct 2, 2009 - author and Michael Jury sharpened this result, and showed that in the case when such a composition operator is bounded, the norm, essential ...
Oscar Blasco*. INTRODUCTION. During the last decade a big effort has been made to understand operators acting on Bergman and weighted Bergman spaces ...
Rajeev Kumar and Romesh Kumar. Abstract. We give a necessary and sufficient condition for the compactness of composition operators on the Lorentz spaces.
In this article dilation operators acting on Triebel-Lizorkin spaces Fs p,q(Rn) are investigated. The idea for this paper originates from its forerunners [Vyb08] and ...
Tauber's second theorem on the converse of Abel's theorem. For Schwartz .... extension of Hardy-Littlewood type theorems for positive measures. Later on, the .... and the limit in the above equation might be replaced by the limit of â« x. 0.
uous linear operator T e L(X, Y) and the immersion of a Banach space X into the second dual X**. -i. T is tauberian .... tors, Math. Proc. Cambridge Phil. Soc.
obtain a reformulation of the W-T theorems using Hardy's theorem for ..... to the isomorphism theorem of schwartz spaces Cp , we use Paley-Wiener. Theorem ...
Abstract. We prove that if q is in (1, â), Y is a Banach space, and T is a linear operator defined on the space of finite linear combinations of (1,q)-atoms in Rn with ...
Oct 3, 2016 - position operator CÏ is bounded on a Zen space if and only if Ï has a ...... of Mathematics at the University of Leeds for their financial support.
Their proof is essentially valid for all L1(14) spaces, with par a finite measure. LEMMA 1. Let (fn) be a bounded sequence in L1 (ru). Then there exists.
