Smooth functions on Banach spaces

DOI10.1016/0022-247X(77)90284-0zbMath0342.28006OpenAlexW2067109063MaRDI QIDQ1231997

M. Ann. Piech

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90284-0

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Analyticity of infinite-dimensional heat potentials ⋮ Wiener measures and some questions of approximation in Banach spaces ⋮ Sharp inequalities and regularity of heat semigroup on infinite dimensional spaces ⋮ Gaussian measures on linear spaces ⋮ The exterior algebra for Wiemann manifolds ⋮ Differentiable measures and the Malliavin calculus ⋮ Thermal potentials on a Hilbert space

Cites Work

• Unnamed Item
• Unnamed Item
• The Ornstein-Uhlenbeck semigroup in an infinite dimensional L\(^2\) setting
• Potential theory on Hilbert space
• A fundamental solution of the parabolic equation on Hilbert space
• On seminorms and probabilities, and abstract Wiener spaces
• Gaussian measures on a Banach space
• Tensor Algebras Over Hilbert Spaces. I
• Differentiable functions on certain Banach spaces
• Differentiable norms in Banach spaces
• A Fundamental Solution of the Parabolic Equation on Hilbert Space. II: The Semigroup Property
• Quasi-Differentiable Functions on Banach Spaces
• An Extension of Weyl's Lemma to Infinite Dimensions

This page was built for publication: Smooth functions on Banach spaces