English

Bishop-Phelps-Bollob\'as property for bilinear forms on spaces of continuous functions

Functional Analysis 2017-04-25 v1
Authors: Sun Kwang Kim , Han Ju Lee , Miguel Martin
View on arXiv ↗ PDF ↗ DOI ↗

Abstract

It is shown that the Bishop-Phelps-Bollob\'as theorem holds for bilinear forms on the complex C0(L1)×C0(L2)C_0(L_1)\times C_0(L_2) for arbitrary locally compact topological Hausdorff spaces L1L_1 and L2L_2.

Keywords

bishop-phelps-bollobás property bilinear forms continuous functions locally compact hausdorff spaces complex banach spaces

Cite

@article{arxiv.1410.0514,
  title  = {Bishop-Phelps-Bollob\'as property for bilinear forms on spaces of continuous functions},
  author = {Sun Kwang Kim and Han Ju Lee and Miguel Martin},
  journal= {arXiv preprint arXiv:1410.0514},
  year   = {2017}
}

Related papers

View all related →
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as property for operators between spaces of continuous functions
Maria Acosta, Julio Becerra, Yun Sung Choi, Maciej Ciesielski +4
2013-07-23
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'{a}s theorem for operators on $L_1(\mu)$
Yun Sung Choi, Sun Kwang Kim, Han Ju Lee, Miguel Martín
2013-03-26
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'{a}s property for operators on $C(K)$
Maria D. Acosta
2021-06-14
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as property on the space of $c_0$-sum
Geunsu Choi, Sun Kwang Kim
2022-02-23
Functional Analysis · Mathematics
A non-linear Bishop-Phelps-Bollob\'as type theorem
Sheldon Dantas, Domingo García, Sun Kwang Kim, Un Young Kim +2
2017-07-24
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as property for numerical radius in $\ell_1(\mathbb{C})$
Antonio J. Guirao, Olena Kozhushkina
2013-01-22
Functional Analysis · Mathematics
On some local Bishop-Phelps-Bollob\'as properties
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee, Martin Mazzitelli
2019-06-03
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as property for operators from $\mathcal{C}(K)$ to uniformly convex spaces
Sun Kwang Kim, Han Ju Lee
2014-07-31
Functional Analysis · Mathematics
On the compact operators case of the Bishop-Phelps-Bollob\'as property for numerical radius
Domingo Garcia, Manuel Maestre, Miguel Martin, Oscar Roldan
2021-02-23
Functional Analysis · Mathematics
The Bishop-Phelps-Bollobas property for certain Banach spaces
Tirthankar Bhattacharyya, Mainak Bhowmik, Kousik Dhara
2024-03-08
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as property for compact operators
Sheldon Dantas, Domingo Garcia, Manuel Maestre, Miguel Martin
2016-04-05
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as property for operators defined on $c_0$-sum of Euclidean spaces
Thiago Grando, Mary Lilian Lourenço
2025-06-24
Functional Analysis · Mathematics
Local forms of Bishop-Phelps-Bollob\'{a}s type properties for bilinear maps
Uday Shankar Chakraborty
2023-03-16
Functional Analysis · Mathematics
Bishop-Phelps-Bollob\'as property for positive operators when the domain is $C_0(L) $
María D. Acosta, Maryam Soleimani-Mourchehkhorti
2021-08-04
Functional Analysis · Mathematics
Bishop-Phelps-Bolloba's theorem on bounded closed convex sets
Dong Hoon Cho, Yun Sung Choi
2014-09-11
Functional Analysis · Mathematics
Strong subdifferentiability and local Bishop-Phelps-Bollob\'as properties
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee, Martin Mazzitelli
2019-05-22
Functional Analysis · Mathematics
Bishop-Phelps-Bollob\'as property for positive operators between classical Banach spaces
María D. Acosta, Maryam Soleimani-Mourchehkhorti
2021-06-14
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob{\'a}s property for numerical radius of operators on $L_1 (\mu)$
M. D. Acosta, M. Fakhar, M. Soleimani-Mourchehkhorti
2021-06-14
Functional Analysis · Mathematics
Bishop-Phelps-Bollob\'as property for positive functionals
M. D. Acosta, M. Soleimani-Mourchehkhorti
2021-06-11
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as properties in complex Hilbert spaces
Yun Sung Choi, Sheldon Dantas, Mingu Jung
2019-11-04
Functional Analysis · Mathematics
Two refinements of the Bishop-Phelps-Bollob\'as modulus
Mario Chica, Vladimir Kadets, Miguel Martin, Javier Meri +1
2017-04-25
Functional Analysis · Mathematics
Simultaneously continuous retraction and Bishop-Phelps-Bollob\'as type theorem
Sun Kwang Kim, Han Ju Lee
2014-04-15
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as moduli of a Banach space
Mario Chica, Vladimir Kadets, Miguel Martin, Soledad Moreno +1
2021-06-21
Functional Analysis · Mathematics
Bishop-Phelps-Bollob\'as property for positive operators when the domain is $L_\infty $
M. D. Acosta, M. Soleimani-Mourchehkhorti
2021-06-14
Functional Analysis · Mathematics
The Bishop-Phelps-Bollob\'as version of Lindenstrauss properties A and B
Richard Aron, Yun Sung Choi, Sun Kwang Kim, Han Ju Lee +1
2017-04-25