The Pettis integral for multi-valued functions via single-valued ones
نویسندگان
چکیده
منابع مشابه
Not All Multi-Valued Partial CFL Functions Are Refined by Single-Valued Functions (Extended Abstract)
Multi-valued partial CFL functions are computed by one-way nondeterministic pushdown automata equipped with write-only output tapes. We give an answer to a fundamental question, raised by Konstantinidis, Santean, and Yu [Act. Inform. 43 (2007) 395–417], of whether all multi-valued partial CFL functions can be refined by single-valued partial CFL functions. We negatively solve this question by p...
متن کاملMultiple Valued Functions and Integral Currents
We prove several results on Almgren’s multiple valued functions and their links to integral currents. In particular, we give a simple proof of the fact that a Lipschitz multiple valued map naturally defines an integer rectifiable current; we derive explicit formulae for the boundary, the mass and the first variations along certain specific vectorfields; and exploit this connection to derive a d...
متن کاملPseudo-integral of Set-valued Functions
An approach to the integration of set-valued functions based on the pseudo-integral has been proposed. Some basic properties of the pseudo-integral of set-valued functions have been shown.
متن کاملMaxitive Integral of Real-Valued Functions
The paper pursues the definition of a maxitive integral on all real-valued functions (i.e., the integral of the pointwise maximum of two functions must be the maximum of their integrals). This definition is not determined by maxitivity alone: additional requirements on the integral are necessary. The paper studies the consequences of additional requirements of invariance with respect to affine ...
متن کاملSET - VALUED CHOQUET - PETTIS INTEGRALS Chun - Kee
In this paper, we introduce the Choquet-Pettis integral of set-valued mappings and investigate some properties and convergence theorems for the set-valued Choquet-Pettis integrals.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.10.003