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Tensor Norms and Operator Ideals

Basic Concepts. Bilinear Mappings. The Algebraic Theory of Tensor Products. The Projective Norm. The Injective Norm. The Approximation Property. Duality of the Projective and Injective Norm. The… Expand

Coordinatewise multiple summing operators in Banach spaces

- A. Defant, D. Popa, U. Schwarting
- Mathematics
- 1 July 2010

We invent the new notion of coordinatewise multiple summing operators in Banach spaces, and use it to study various vector valued extensions of the well-know Bohnenblust–Hille inequality (which… Expand

The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive

- A. Defant, L. Frerick, J. Ortega-Cerdà, M. Ounaies, K. Seip
- Mathematics
- 23 April 2009

The Bohnenblust-Hille inequality says that the ‘ 2m m+1 -norm of the coefcients of an m-homogeneous polynomial P on C n is bounded by kPk1 times a constant independent of n, wherekk 1 denotes the… Expand

Variants of the Maurey–Rosenthal Theorem for Quasi Köthe Function Spaces

- A. Defant
- Mathematics
- 20 August 1999

AbstractThe Maurey–Rosenthal theorem states that each bounded and linear operator T from a quasi normed space E into some Lp(ν)(0<p<r<∞) which satisfies a vector-valued norm inequality
$$\left\|… Expand

Discorhabdin alkaloids from Antarctic Latrunculia spp. sponges as a new class of cholinesterase inhibitors.

- Tanja Botić, A. Defant, +7 authors K. Sepčič
- Chemistry, Medicine
- European journal of medicinal chemistry
- 18 August 2017

TLDR

Unconditional Basis and Gordon–Lewis Constants for Spaces of Polynomials

- A. Defant, J. C. Díaz, Domingo García, M. Maestre
- Mathematics
- 1 April 2001

Abstract No infinite dimensional Banach space X is known which has the property that for m ⩾2 the Banach space of all continuous m -homogeneous polynomials on X has an unconditional basis. Following… Expand

Fatty acid composition of common barbel (Barbus barbus) roe and evaluation of its haemolytic and cytotoxic activities.

- I. Mancini, A. Defant, +5 authors K. Sepčič
- Chemistry, Medicine
- Toxicon : official journal of the International…
- 1 June 2011

TLDR

Bohr’s strip for vector valued Dirichlet series

- A. Defant, Domingo García, M. Maestre, D. Pérez-García
- Mathematics
- 30 May 2008

Bohr showed that the width of the strip (in the complex plane) on which a given Dirichlet series $${\sum a_n/ n^s, \, s \in \mathbb{C}}$$, converges uniformly but not absolutely, is at most 1/2, and… Expand

The Bohnenblust Hille cycle of ideas from a modern point of view

- A. Defant, P. Sevilla-Peris
- Mathematics
- 1 March 2014

Both authors were supported by MICINN Project MTM2011-22417. The second author was also partially supported by project UPV-SP201207000.

A logarithmic lower bound for multi-dimensional bohr radii

- A. Defant, L. Frerick
- Mathematics
- 1 December 2006

We prove that the Bohr radiusKn of then-dimensional polydisc in ℂn is up to an absolute constant ≥ √logn/log logn/n. This improves a result of Boas and Khavinson.

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