Correction to "The divergence of Banach space valued random variables on Wiener space", Prob. Th. Rel. Fields 132, 291-320 (2005)

TL;DR

This paper addresses errors in a previous work on Banach space valued random variables on Wiener space, providing corrected proofs and clarifications under additional assumptions about the Banach space.

Contribution

It corrects and clarifies results from a prior publication by providing new proofs and assumptions regarding the Radon-Nikodym property of the second dual space.

Findings

Corollaries 3.5 and 3.17a are withdrawn

A new proof for Proposition 3.14 is provided

Results depend on the Radon-Nikodym property of the second dual space

Abstract

As a result of some mistakes discovered in the paper mentioned in the title, Corollaries 3.5 and 3.17a) are withdrawn and a new proof is provided for Proposition 3.14, under the added assumption that the second dual of the underlying Banach space Y possesses the Radon-Nykodim property.