Positive eigenvectors of positive polynomial operators on Banach spaces.
نویسندگان
چکیده
منابع مشابه
Bivariate Positive Operators in Polynomial Weighted Spaces
and Applied Analysis 3 For each (m, n) ∈ N × N and any f ∈ C p,q (R2 + ) we define the linear positive operators
متن کاملPositive Forms on Banach Spaces
The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces. The aim of this paper is to show that some of the results remain true if the underlying space is a reflexive Banach space. In particular, the construction of the Friedrichs extension and the form sum of positive operators can be carried over to thi...
متن کاملNorms of Positive Operators on LP-Spaces
Let 0 < T: LP(Y, v) -+ Lq(X, ) be a positive linear operator and let HITIP ,q denote its operator norm. In this paper a method is given to compute 1Tllp, q exactly or to bound 11Tllp q from above. As an application the exact norm 11VIlp,q of the Volterra operator Vf(x) = fo f(t)dt is computed.
متن کاملNorms of Positive Operators on L-spaces
Let 0 ≤ T : L(Y, ν) → L(X,μ) be a positive linear operator and let ‖T‖p,q denote its operator norm. In this paper a method is given to compute ‖T‖p,q exactly or to bound ‖T‖p,q from above. As an application the exact norm ‖V ‖p,q of the Volterra operator V f(x) = ∫ x 0 f(t)dt is computed. Department of Mathematics, University of South Carolina, Columbia, SC 29208 1991 Mathematics Subject Classi...
متن کاملPositive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications
and Applied Analysis 3 wider variety of situations. Our results either improve or generalize the corresponding results due to 19–22 and many of others. As an application of our main results, we consider the existence of positive solutions for second-order differential equations with integral boundary conditions in an ordered Banach space. On the other hand, our conditions are weaker than those ...
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: Michigan Mathematical Journal
سال: 1965
ISSN: 0026-2285
DOI: 10.1307/mmj/1028999430