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A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_{2}$

Jesús Ferrer — 2005

Czechoslovak Mathematical Journal

We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of $l_{2}$ .

The controlled separable projection property for Banach spaces

Jesús Ferrer; Marek Wójtowicz — 2011

Open Mathematics

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) Y/W is norm-separable...

On a class of real normed lattices

C. Alegre; Jesús Ferrer; Valentín Gregori — 1998

Czechoslovak Mathematical Journal

We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that $E$ is a quasi-Baire space iff $(E, T (𝒰), T (𝒰^{- 1}))$ , is a pairwise Baire bitopological space, where $𝒰$ , is a quasi-uniformity that determines, in $L$ . Nachbin’s sense, the topological ordered space $E$ .

On some questions in quasi-uniform topological spaces.

Jesús Ferrer Llopis; Valentín Gregori Gregori; Carmen Alegre Gil — 1992

Stochastica

Partial solution is given here respect to one open problem posed by P. Fletcher and W. F. Lindgren in their monography Quasi-uniform spaces.

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Currently displaying 1 – 4 of 4

A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_{2}$

The controlled separable projection property for Banach spaces

On a class of real normed lattices

On some questions in quasi-uniform topological spaces.

Advanced Search

Formula preview

Currently displaying 1 – 4 of 4

A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of l 2

The controlled separable projection property for Banach spaces

On a class of real normed lattices

On some questions in quasi-uniform topological spaces.

A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_{2}$