منابع مشابه
On Measurability over Product Spaces
The main result announced here is a negative solution of the Kakutani-Doob problem [3 ] on measurability of stochastic processes, assuming the continuum hypothesis. Thus the positive solution proposed earlier by M. Mahowald [ó] is incorrect (the last step in the argument applies the Fubini theorem to sets in a product space which need not be measurable). Complete proofs will appear in the Proce...
متن کاملNORM AND INNER PRODUCT ON FUZZY LINEAR SPACES OVER FUZZY FIELDS
In this paper, we introduce the concepts of norm and inner prod- uct on fuzzy linear spaces over fuzzy elds and discuss some fundamental properties.
متن کاملDecisions with probabilities over finite product spaces
K. Hwang, " Advanced parallel processing with supercomputer architec-tures, " Proof of correctness for ASCOS AA3 networks, " to be published. the " actual " but unknown probability distribution over the set of events (states, conditions) in terms of which the problem is defined. However, the probabilistic information available for decisions under risk and uncertainty may also be characterized i...
متن کاملNon-measurability properties of interpolation vector spaces
It is known that every dimension group with order-unit of size at most א1 is isomorphic to K0(R) for some locally matricial ring R (in particular, R is von Neumann regular); similarly, every conical refinement monoid with order-unit of size at most א1 is the image of a V-measure in Dobbertin’s sense, the corresponding problems for larger cardinalities being open. We settle these problems here, ...
متن کاملParabolic Marcinkiewicz integrals on product spaces
In this paper, we study the $L^p$ ($1
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: Bulletin of the American Mathematical Society
سال: 1971
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1971-12715-5