A. Pelczar

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20012005

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math.FA2005

Stabilization of Tsirelson-type norms on $ℓ_{p}$ spaces

Anna Maria Pelczar

We consider classical Tsirelson-type norms of $T [A_{r}, θ]$ and their modified versions on $ℓ_{p}$ spaces. We show that for any $1 < p < \infty$ there is a constant $λ_{p}$ such that consi…

math.FA2002

On a question of Haskell P. Rosenthal

Valentin Ferenczi, Anna Maria Pelczar, Christian Rosendal

We consider a normalized basis in a Banach space with the following property: any normalized block sequence of the basis has a subsequence equivalent to the basis. We show that und…

math.FA2001

Subsymmetric sequences and minimal spaces

Anna Maria Pelczar

We show that every Banach space saturated with subsymmetric sequences contains a minimal subspace.

Stabilization of Tsirelson-type norms on ℓp​ spaces

On a question of Haskell P. Rosenthal

Subsymmetric sequences and minimal spaces

Stabilization of Tsirelson-type norms on $ℓ_{p}$ spaces