A certain subspace of characteristic zero of
D. Van Dulst (1974)
Compositio Mathematica
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Displaying similar documents to “Linearity in non-linear problems.”
A certain subspace of characteristic zero of
Continuous restrictions of linear functionals
Béla Bollobás, Imre Leader (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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Total subspaces in dual Banach spaces which are not norming over any infinite-dimensional subspace
M. Ostrovskiĭ (1993)
Studia Mathematica
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The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.
Recent developments in hypercyclicity.
Karl-Goswin Grosse-Erdmann (2003)
RACSAM
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In these notes we report on recent progress in the theory of hypercyclic and chaotic operators. Our discussion will be guided by the following fundamental problems: How do we recognize hypercyclic operators? How many vectors are hypercyclic? How many operators are hypercyclic? How big can non-dense orbits be?
On operators T such that f(T) is hypercyclic.
Teresa Bermúdez, Vivien G. Miller (2000)
Extracta Mathematicae
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Complemented and uncomplemented subspaces of Banach spaces.
Anatolij M. Plichko, David Yost (2000)
Extracta Mathematicae
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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.
The controlled separable projection property for Banach spaces
Jesús Ferrer, Marek Wójtowicz (2011)
Open Mathematics
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Let X, Y be two Banach spaces. We say that Y is a quasi-quotient of X if there is a continuous operator R: X → Y such that its range, R(X), is dense in Y. Let X be a nonseparable Banach space, and let U, W be closed subspaces of X and Y, respectively. We prove that if X has the Controlled Separable Projection Property (CSPP) (this is a weaker notion than the WCG property) and Y is a quasi-quotient of X, then the structure of Y resembles the structure of a separable Banach space: (a)...
Operators on spaces of analytic functions
K. Seddighi (1994)
Studia Mathematica
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Let be the operator of multiplication by z on a Banach space of functions analytic on a plane domain G. We say that is polynomially bounded if for every polynomial p. We give necessary and sufficient conditions for to be polynomially bounded. We also characterize the finite-codimensional invariant subspaces and derive some spectral properties of the multiplication operator in case the underlying space is Hilbert.