𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Complexification of Multilinear Mappings and Polynomials

✍ Scribed by Pádraig Kirwan

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
308 KB
Volume
231
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Extreme Polynomials and Multilinear Form
Extreme Polynomials and Multilinear Forms onl1
✍ Yun Sung Choi; Sung Guen Kim; Haseo Ki 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 125 KB

Given a 2-homogeneous polynomial P x, y s ax q by q cxy with real coeffi-5 5 5 5 cients, let P and P denote the norms of P on the real and complex Banach r c 2 5 5 5 5 space l , respectively. We show P s P , and obtain a sufficient and necessary r c 1 condition on the coefficients a, b, and c for P

Multilinear Polynomials and a Conjecture
Multilinear Polynomials and a Conjecture of Frankl and Füredi
✍ Arvind Sankar; Sundar Vishwanathan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 86 KB

Frankl and Fu redi conjectured that given a family F of subsets of [n] such that 1 |E & F| k for all distinct E and F in F, we must have |F| k i=0 ( n&1 i

Weak–Strong Continuity of Multilinear Ma
Weak–Strong Continuity of Multilinear Mappings and the Pełczynski–Pitt Theorem
✍ Raymundo Alencar; Klaus Floret 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 191 KB

In generalizing a result of Pełczynski the sequential weak to norm continuity of `Ž N-linear mappings between certain Banach spaces including spaces of type and . cotype will be studied. In particular, it is shown that every N-linear continuous n Ž . mapping from l l = иии = l l into l l is compact

On a Question of Pietsch about Hilbert–S
On a Question of Pietsch about Hilbert–Schmidt Multilinear Mappings
✍ Mário C. Matos 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 120 KB

In 1983, Pietsch asked if, for n ≥ 3 and all Hilbert spaces E 1 E n , the vector space of the scalar valued absolutely r r 1 r n -summing multilinear mappings on E 1 × • • • × E n coincides with the vector space of the n-linear Hilbert-Schmidt functionals on We show that the answer to this question

Multilinear Forms, Subsymmetric Polynomi
Multilinear Forms, Subsymmetric Polynomials, and Spreading Models on Banach Spaces
✍ Raquel Gonzalo 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 195 KB

Some applications of Ramsey theory to the study of multilinear forms and polynomials on Banach spaces are given, related to the existence of lower l -estiq mates of sequences. We give an explicit representation of subsymmetric polynomials in Banach spaces with subsymmetric basis. Finally we apply ou