Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Isometries of certain operator spaces
View through CrossRef
Let
X
X
and
Y
Y
be Banach spaces, and
L
(
X
,
Y
)
L(X,Y)
be the spaces of bounded linear operators from
X
X
into
Y
.
Y.
In this paper we give full characterization of isometric onto operators of
L
(
X
,
Y
)
,
L(X,Y),
for a certain class of Banach spaces, that includes
ℓ
p
,
\ell ^{p},
1
>
p
>
∞
.
1>p>\infty .
We also characterize the isometric onto operators of
L
(
c
0
)
L(c_{0})
and
K
(
ℓ
1
)
,
K(\ell ^{1}),
the compact operators on
ℓ
1
.
\ell ^{1}.
Furthermore, the multiplicative isometric onto operators of
L
(
ℓ
1
)
L(\ell ^{1})
, when multiplication on
L
(
ℓ
1
)
L(\ell ^{1})
is taken to be the Schur product, are characterized.
American Mathematical Society (AMS)
Title: Isometries of certain operator spaces
Description:
Let
X
X
and
Y
Y
be Banach spaces, and
L
(
X
,
Y
)
L(X,Y)
be the spaces of bounded linear operators from
X
X
into
Y
.
Y.
In this paper we give full characterization of isometric onto operators of
L
(
X
,
Y
)
,
L(X,Y),
for a certain class of Banach spaces, that includes
ℓ
p
,
\ell ^{p},
1
>
p
>
∞
.
1>p>\infty .
We also characterize the isometric onto operators of
L
(
c
0
)
L(c_{0})
and
K
(
ℓ
1
)
,
K(\ell ^{1}),
the compact operators on
ℓ
1
.
\ell ^{1}.
Furthermore, the multiplicative isometric onto operators of
L
(
ℓ
1
)
L(\ell ^{1})
, when multiplication on
L
(
ℓ
1
)
L(\ell ^{1})
is taken to be the Schur product, are characterized.
Related Results
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
Perancangan Beban Kerja Proses Produksi Pabrik Tahu Ciburial dengan Metode Work Load Analysis
Perancangan Beban Kerja Proses Produksi Pabrik Tahu Ciburial dengan Metode Work Load Analysis
Abstract. Excessive workload can create an uncomfortable working atmosphere for workers because it can trigger the emergence of work stress more quickly. On the other hand, a lack ...
Etude infinitésimale et asymptotique de certains flots stochastiques relativistes
Etude infinitésimale et asymptotique de certains flots stochastiques relativistes
Nous étudions certains processus de Lévy à valeurs dans les groupes d'isométries respectifs des espace-temps de Minkowski, de De Sitter et de Anti-De-Sitter. Le groupe d'isométries...
The second four-electron singlet in the Hubbard impurity model
The second four-electron singlet in the Hubbard impurity model
We consider the energy operator of four-electron systems in the Hubbard impurity model and investigate the structure of the essential spectrum and discrete spectra for the second s...
Minimasi Risiko Muskuloskeletal Disorders dan Beban Kerja Fisik pada Operator Proses Setting Di PT. Jaya Beton Indonesia
Minimasi Risiko Muskuloskeletal Disorders dan Beban Kerja Fisik pada Operator Proses Setting Di PT. Jaya Beton Indonesia
Intisari—Penelitian ini dilakukan pada PT.Jaya Beton Indonesia dimana ditemukannya indikasi beban kerja fisik yang berlebih dan postur kerja yang buruk pada operator proses setting...
Implementation of Ergonomic Biomechanics on Harvest Management by Combined Harverter Machine
Implementation of Ergonomic Biomechanics on Harvest Management by Combined Harverter Machine
Abstract Biomechanics is performed to minimize fatigue and risk of muscle bone loss, in repetitive working conditions. So in the placement and operation of the controller must be e...
About operator functions of an operator variable
About operator functions of an operator variable
A family of operator functions for which the domain and the range of values are included in the real Banach algebra of bounded linear operators acting in a real Banach space is con...
Extrem states, operator spaces and ternary rings of operators
Extrem states, operator spaces and ternary rings of operators
In this survey article on extreme states of operator spaces in C¡-algebras and related ternary ring of operators an extension result for rectangular operator extreme states on oper...