Estimates for absolutely summing norms of polynomials and multilinear maps

Yun Sung Choi; Sung Guen Kim; Yolanda Meléndez; Andrew Tonge

doi:10.1093/qjmath/52.1.1

Estimates for absolutely summing norms of polynomials and multilinear maps

Yun Sung Choi
, Sung Guen Kim
, Yolanda Meléndez
, Andrew Tonge

Pohang University of Science and Technology
University of Extremadura
Kent State University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We obtain lower bounds for the usual norms and the absolutely summing norms of polynomials and multilinear mappings from l_p or c₀ to a Banach space. Our estimates unify and extend the work of several previous authors who have workea with scalar-valued mappings.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Quarterly Journal of Mathematics
Volume	52
Issue number	1
DOIs	https://doi.org/10.1093/qjmath/52.1.1
State	Published - Mar 2001

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10.1093/qjmath/52.1.1

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title = "Estimates for absolutely summing norms of polynomials and multilinear maps",

abstract = "We obtain lower bounds for the usual norms and the absolutely summing norms of polynomials and multilinear mappings from lp or c0 to a Banach space. Our estimates unify and extend the work of several previous authors who have workea with scalar-valued mappings.",

author = "Choi, \{Yun Sung\} and Kim, \{Sung Guen\} and Yolanda Mel{\'e}ndez and Andrew Tonge",

year = "2001",

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T1 - Estimates for absolutely summing norms of polynomials and multilinear maps

AU - Choi, Yun Sung

AU - Kim, Sung Guen

AU - Meléndez, Yolanda

AU - Tonge, Andrew

PY - 2001/3

Y1 - 2001/3

N2 - We obtain lower bounds for the usual norms and the absolutely summing norms of polynomials and multilinear mappings from lp or c0 to a Banach space. Our estimates unify and extend the work of several previous authors who have workea with scalar-valued mappings.

AB - We obtain lower bounds for the usual norms and the absolutely summing norms of polynomials and multilinear mappings from lp or c0 to a Banach space. Our estimates unify and extend the work of several previous authors who have workea with scalar-valued mappings.

UR - https://www.scopus.com/pages/publications/0035586291

U2 - 10.1093/qjmath/52.1.1

DO - 10.1093/qjmath/52.1.1

M3 - Article

AN - SCOPUS:0035586291

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VL - 52

SP - 1

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JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 1

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Estimates for absolutely summing norms of polynomials and multilinear maps

Abstract

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