Lp-valued measures without finite X-semivariation for 2 < p < ∞

Jefferies, B; Okada, Susumu; Rodrigues-Piazza, Luis

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Lp-valued measures without finite X-semivariation for 2 < p < ∞

Date

2007

Authors

Jefferies, B

Okada, Susumu

Rodrigues-Piazza, Luis

Publisher

NISC South Africa

Abstract

We show that for 1 < p < ∞, the property that every L p-valued vector measure has finite X-semivariation in L p(μ, X) is equivalent to the property that every continuous linear map from ℓ1 to X is p-summing. For 2 < p < ∞, we explicitly construct a

Keywords

Keywords: Absolutely p-summing; Lp-semivariation; Tensor product

URI

http://hdl.handle.net/1885/39249

Collections

ANU Research Publications

Source

Quaestiones Mathematicae

Type

Journal article

Restricted until

2037-12-31

Downloads

File

Description

01_Jefferies_Lp-valued_measures_without_2007.pdf (204.61 KB)

Full item page

Cultural advice

Lp-valued measures without finite X-semivariation for 2 < p < ∞

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Keywords

Citation

URI

Collections

Source

Type

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

Downloads