Search Results - Calculus of functions on infinite-dimensional spaces

Counterexamples in scale calculus by Filippenko, Benjamin, Zhou, Zhengyi, Wehrheim, Katrin

“…We construct counterexamples to classical calculus facts such as the inverse and implicit function theorems in scale calculus-a generalization of multivariable calculus to infinite-dimensional vector…”
Get more information

Distance Functions in Some Class of Infinite Dimensional Vector Spaces by Anne, Bator, Briec, Walter

“… Duality theorems extending some earlier results are established in the context of infinite dimensional spaces…”
Get full text

Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces by Glöckner, Helge

“…We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials…”
Get full text

Banach manifold structure and infinite-dimensional analysis for causal fermion systems by Finster, Felix, Lottner, Magdalena

“… Fréchet-smooth Riemannian metric. The so-called expedient differential calculus is introduced with the purpose of treating derivatives of functions on Banach spaces which are differentiable only in certain directions…”
Get full text

An Extension of the Kaliszewski Cone to Non-polyhedral Pointed Cones in Infinite-Dimensional Spaces by Huerga, Lidia, Jadamba, Baasansuren, Sama, Miguel

“… ) from polyhedral pointed cones in finite-dimensional spaces to a general family of closed, convex, and pointed cones in infinite-dimensional spaces, which in particular covers all separable Banach spaces…”
Get full text

Singular Limit of BSDEs and Optimal Control of Two Scale Stochastic Systems in Infinite Dimensional Spaces by Guatteri, Giuseppina, Tessitore, Gianmario

“…In this paper we study by probabilistic techniques the convergence of the value function for a two-scale, infinite-dimensional, stochastic controlled system as the ratio between the two evolution speeds diverges…”
Get full text

Set-Valued Systems with Infinite-Dimensional Image and Applications by Li, J., Yang, L.

“…In infinite-dimensional spaces, we investigate a set-valued system from the image perspective…”
Get full text

Characterizing Efficiency on Infinite-dimensional Commodity Spaces with Ordering Cones Having Possibly Empty Interior by Flores-Bazán, Fabián, Flores-Bazán, Fernando, Laengle, Sigifredo

“…Some production models in finance require infinite-dimensional commodity spaces, where efficiency is defined in terms of an ordering cone having possibly empty interior…”
Get full text

Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space by Lian, Zeng, Lu, Kening

“…We study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random…”
Get full text

Numerical approximation of the solution in infinite dimensional global optimization using a representation formula by Zidani, H., De Cursi, J. E. Souza, Ellaia, R.

“…A non convex optimization problem, involving a regular functional J , on a closed and bounded subset S of a separable Hilbert space V is here considered…”
Get full text

Calculus and Fine Properties of Functions of Bounded Variation on RCD Spaces by Brena, Camillo, Gigli, Nicola

“… In the infinite dimensional setting, we are able to define an analogue of the distributional differential and, on finite dimensional spaces, we prove fine properties and suitable calculus rules, such as the…”
Get full text

Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise by Beghin, Luisa, Cristofaro, Lorenzo, Gajda, Janusz

“… The related generalized processes, in the infinite dimensional setting, are also defined and, through the use of the Riemann-Liouville fractional operators, the (possibly tempered…”
Get full text

A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces by Boţ, Radu Ioan, Wanka, Gert

“… Moreover, it provides a weak sufficient condition for Fenchel duality regarding convex optimization problems in infinite dimensional spaces…”
Get full text

Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints by Nguyen Dinh, Tuan

“…We investigate a multiobjective optimal control problem, governed by a strongly continuous semigroup operator in an infinite dimensional separable Banach space, and with final-state constraints…”
Get full text

Application of the functional calculus to solving of infinite dimensional heat equation by Sharyn, S.V.

“… Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions…”
Get full text

Optimal Control of Infinite-Dimensional Piecewise Deterministic Markov Processes: A BSDE Approach. Application to the Control of an Excitable Cell Membrane by Bandini, Elena, Thieullen, Michèle

“…In this paper we consider the optimal control of Hilbert space-valued infinite-dimensional Piecewise Deterministic Markov Processes (PDMP…”
Get full text

Infinite dimensional weak Dirichlet processes and convolution type processes by Fabbri, Giorgio, Russo, Francesco

“…The present paper continues the study of infinite dimensional calculus via regularization, started by C…”
Get full text

Infinite dimensional generalized Jacobian: Properties and calculus rules by Páles, Zsolt, Zeidan, Vera

“…The extension to infinite dimensional domains of Clarke's generalized Jacobian is the focus of this paper…”
Get full text

Optimal Stopping of a Hilbert Space Valued Diffusion: An Infinite Dimensional Variational Inequality by Chiarolla, Maria B., De Angelis, Tiziano

“…A finite horizon optimal stopping problem for an infinite dimensional diffusion X is analyzed by means of variational techniques…”
Get full text

The Dirichlet Problem Associated to Operators Defined on the Nuclear Algebra of Entire Functions by Chaari, Sonia, Ben Farah, Afef

“…This paper is devoted to the Dirichlet problem associated to operators defined on the nuclear algebra of entire functions…”
Get full text