Multiple summing operators on Banach spaces

By David Pérez-García, Ignacio Villanueva. 2003

74 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/dd5c2befc327716e04414f82f420ae9fb695c955

How researchers see this paper

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

In Applied Mathematics

In Mathematical Physics

Citations in the corpus

A new multilinear insight on Littlewood's 4/3-inequality (2009, unknown): “For related results see [1,6,8,10,34,36,42].”
On the Cohen strongly p-summing multilinear operators (2007, background): “There are many definitions generalizing the notion of summability to multilinear operators; the definitions of absolutely p-summing, r-dominated and strongly p-summing multilinear operators (there are also other definitions such as the class of the multiple p-summing multilinear operators, see [3,12”
Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators (2013, background): “As a consequence of the previous result we conclude that under certain circumstances the concepts of absolutely summing multilinear operator and multiple summing multilinear operator (see [6, 21, 23]) are precisely the same.”
Unbounded Violation of Tripartite Bell Inequalities (2007, background): “Since Grothendieck stated his theorem, a lot of effort has been devoted to find suitable multilinear generalizations (see for instance [11,12,17,53, 56 ,69]).”
Comparing different classes of absolutely summing multilinear operators (2005, background): “1 p 40 ].”
Some techniques on nonlinear analysis and applications (2010, background): “ last decade several diﬀerent nonlinear (non-necessarily multilinear or polynomial) extensions of the concept of absolutely summing linear operators have appeared in the literature (see, for example, [3, 10, 12, 14, 16, 17, 18, 19, 22] and references therein). Of course, some linear techniques are c”
Multilinear extensions of Grothendieck’s theorem (2004, background): “For other results related to this class of operators we refer the reader to [16] and [17].”