Errata to: ‘‘Operators whose ascent is $0$ or $1$”
نویسندگان
چکیده
منابع مشابه
Linear Operators Whose Domain Is Locally Convex
Let F be an arbitrary topological vector space; we shall say that a subset S of F is quasi-convex if the set of continuous affine functionals on 5 separates the points of S. If X is a Banach space and T: X -* F is a continuous linear operator, then T is quasi-convex if T(U) is quasiconvex, where U is the unit ball of X. In the case when T is compact, T(U) is quasi-convex if and only if it is af...
متن کامل0 M ay 2 00 9 A functional equation whose unknown is P ( [ 0 , 1 ] ) valued
We study a functional equation whose unknown maps a euclidean space into the space of probability distributions on [0, 1]. We prove existence and uniqueness of its solution under suitable regularity and boundary conditions and we characterize solutions that are diffuse on [0, 1]. A canonical solution is obtained by means of a Randomly Reinforced Urn with different reinforcement distributions ha...
متن کاملA Family of Schrödinger Operators Whose Spectrum Is an Interval
By approximation, I show that the spectrum of the Schrödinger operator with potential V (n) = f(n (mod 1)) for f continuous and ρ > 0, ρ / ∈ N is an interval.
متن کاملAscent and Descent for Sets of Operators
We extend the notion of ascent and descent for an operator acting on a vector space to sets of operators. If the ascent and descent of a set are both finite then they must be equal and give rise to a canonical decomposition of the space. Algebras of operators, unions of sets and closures of sets are treated. As an application we construct a Browder joint spectrum for commuting tuples of bounded...
متن کاملErrata to “ A scenario decomposition algorithm for 0 - 1 stochastic programs , ” [ Oper
Section 3 of the paper “A scenario decomposition algorithm for 0-1 stochastic programs,” Operations Research Letters, 41(6):565-569, 2013, contains some errors. The result in Proposition 2 had to be stated with respect to epsilon optimality as opposed to optimality. In this errata the entire Section 3 is reproduced with the errors corrected. The portions highlighted in red indicate the changes ...
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: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1972-0295102-x