Lineability of summing sets of homogeneous polynomials
نویسندگان
چکیده
منابع مشابه
A Note on Lineability of Sets of Bounded Non-absolutely Summing Operators
In this note we sketch a method to prove that several sets of bounded non-absolutely p-summing operators are lineable. We partially solve a question posed by Puglisi and Seoane-Sepúlveda on this subject.
متن کاملA Note on Scalar-valued Absolutely Summing Homogeneous Polynomials between Banach Spaces
In this note we show that the well known coincidence results for scalar-valued homogeneous polynomials can not be generalized in some natural directions.
متن کاملSampling of Homogeneous Polynomials
Conditions for reconstruction of multivariate homogeneous polynomials from sets of sample values are introduced, together with a frame-based method for explicitly obtaining the polynomial coefficients from the sample data.
متن کاملUniformly summing sets of operators on spaces of continuous functions
Let X and Y be Banach spaces. A set ᏹ of 1-summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1-summing sequence (x n) in X, the series n T x n is uniformly convergent in T ∈ ᏹ. We study some general properties and obtain a characterization of these sets when ᏹ is a set of operators defined on spaces of continuous functions.
متن کاملA Note on Uniformly Dominated Sets of Summing Operators
for allx ∈X and all T ∈ . Since the appearance of Grothendieck-Pietsch’s domination theorem for p-summing operators, there is a great interest in finding out the structure of uniformly dominated sets. We will denote by p(μ) the set of all operators T ∈ Πp(X,Y) satisfying (1.1) for all x ∈ X. It is easy to prove that p(μ) is absolutely convex, closed, and bounded (for the p-summing norm). In [4]...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2010
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081080802095446