Norm attaining bilinear forms of L(2d∗(1,w)2) at given vectors

Sung Guen Kim

doi:10.15421/242313

Norm attaining bilinear forms of L(²d_∗(1,w)²) at given vectors

Sung Guen Kim

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

1 Scopus citations

Abstract

For given unit vectors x1,···,xn of a real Banach space E, we de ne NA(L(ⁿE))(x1, · · ·, xn) = {T ∈ L(ⁿE): |T(x1, · · ·, xn)| = kT k = 1}, where L(ⁿE) denotes the Banach space of all continuous n-linear forms on E endowed with the norm kT k = sup_kxkk_=1,1≤k≤_n |T(x1,..., xn)|.

Original language	English
Pages (from-to)	36-48
Number of pages	13
Journal	Researches in Mathematics
Volume	31
Issue number	2
DOIs	https://doi.org/10.15421/242313
State	Published - 2023

Keywords

norm attaining bilinear forms
the plane with an octagonal norm

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10.15421/242313

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title = "Norm attaining bilinear forms of L(2d∗(1,w)2) at given vectors",

abstract = "For given unit vectors x1,···,xn of a real Banach space E, we de ne NA(L(nE))(x1, · · ·, xn) = \{T ∈ L(nE): |T(x1, · · ·, xn)| = kT k = 1\}, where L(nE) denotes the Banach space of all continuous n-linear forms on E endowed with the norm kT k = supkxkk=1,1≤k≤n |T(x1,..., xn)|.",

keywords = "norm attaining bilinear forms, the plane with an octagonal norm",

author = "Kim, \{Sung Guen\}",

note = "Publisher Copyright: {\textcopyright} S. G. KIM, 2023.",

year = "2023",

doi = "10.15421/242313",

language = "English",

volume = "31",

pages = "36--48",

journal = "Researches in Mathematics",

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AU - Kim, Sung Guen

N1 - Publisher Copyright: © S. G. KIM, 2023.

PY - 2023

Y1 - 2023

N2 - For given unit vectors x1,···,xn of a real Banach space E, we de ne NA(L(nE))(x1, · · ·, xn) = {T ∈ L(nE): |T(x1, · · ·, xn)| = kT k = 1}, where L(nE) denotes the Banach space of all continuous n-linear forms on E endowed with the norm kT k = supkxkk=1,1≤k≤n |T(x1,..., xn)|.

AB - For given unit vectors x1,···,xn of a real Banach space E, we de ne NA(L(nE))(x1, · · ·, xn) = {T ∈ L(nE): |T(x1, · · ·, xn)| = kT k = 1}, where L(nE) denotes the Banach space of all continuous n-linear forms on E endowed with the norm kT k = supkxkk=1,1≤k≤n |T(x1,..., xn)|.

KW - norm attaining bilinear forms

KW - the plane with an octagonal norm

UR - https://www.scopus.com/pages/publications/85181035280

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DO - 10.15421/242313

M3 - Article

AN - SCOPUS:85181035280

SN - 2664-4991

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JO - Researches in Mathematics

JF - Researches in Mathematics

IS - 2

ER -

Norm attaining bilinear forms of L(²d_∗(1,w)²) at given vectors

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