A unified Pietsch domination theorem

By G. Botelho, Daniel Pellegrino, P. Rueda. 2008

69 citations recorded by the source corpus.

In this paper we prove an abstract version of Pietsch's domination theorem which unify a number of known Pietsch-type domination theorems for classes of mappings that generalize the ideal of absolutely p-summing linear operators. A final result shows that Pietsch-type dominations are totally free from algebraic conditions, such as linearity, multilinearity, etc.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6ecd8b1bdb65b23585870e8108b0e2376727b928

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. J. B. Seoane-Sep'ulveda
2. J. Santos
3. Daniel Pellegrino

In Mathematical Physics

1. Daniel Pellegrino
2. J. B. Seoane-Sep'ulveda
3. J. Santos

In Statistics and Probability

1. J. Santos
2. J. B. Seoane-Sep'ulveda
3. Daniel Pellegrino

Citations in the corpus

• Some techniques on nonlinear analysis and applications (2010, methodology): “Recently, in [15] (see also an addendum in [53] and [52] for a related result), an abstract unified approach to Pietsch-type results was presented as an attempt to show that all the known Pietsch-type theorems were particular cases of a unified general version.”