Journal article
New characterizations of some L p -spaces
International journal of mathematics and mathematical sciences, v 23(7), pp 487-492
01 Dec 2000
Abstract
For a complete measure space
(
X
,
∑
,
μ
)
, we give conditions which force
L
p
(
X
,
μ
)
, for
1
≤
p
<
∞
, to be isometrically isomorphic to
ℓ
p
(
Γ
)
for some index set
Γ
which depends only on
(
X
,
μ
)
. Also, we give some new characterizations which yield the inclusion
L
p
(
X
,
μ
)
⊂
L
q
(
X
,
μ
)
for
0
<
p
<
q
.
Metrics
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Details
- Title
- New characterizations of some L p -spaces
- Creators
- Russell S. Jenkins - American General Life and Accident Insurance Company, 450S American General Center, Nashville 37250, TN, USARamesh V. Garimella - Tennessee Technological University
- Publication Details
- International journal of mathematics and mathematical sciences, v 23(7), pp 487-492
- Publisher
- Wiley
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021862273404721