A strongly diagonal power of algebraic order bounded disjointness preserving operators
نویسندگان
چکیده
منابع مشابه
A Strongly Diagonal Power of Algebraic Order Bounded Disjointness Preserving Operators
An order bounded disjointness preserving operator T on an Archimedean vector lattice is algebraic if and only if the restriction of Tn! to the vector sublattice generated by the range of Tm is strongly diagonal, where n is the degree of the minimal polynomial of T and m is its ‘valuation’.
متن کاملPolar Decomposition of Order Bounded Disjointness Preserving Operators
We constructively prove (i.e., in ZF set theory) a decomposition theorem for certain order bounded disjointness preserving operators between any two Riesz spaces, real or complex, in terms of the absolute value of another order bounded disjointness preserving operator. In this way, we constructively generalize results by Abramovich, Arensen and Kitover (1992), Grobler and Huijsmans (1997), Hart...
متن کاملA characterization of orthogonality preserving operators
In this paper, we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$. We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator. Also, we prove that every compact normal operator is a strongly orthogo...
متن کاملHypergraphs of Bounded Disjointness
A k-uniform hypergraph is s-almost intersecting if every edge is disjoint from exactly s other edges. Gerbner, Lemons, Palmer, Patkós and Szécsi conjectured that for every k, and s > s0(k), every k-uniform s-almost intersecting hypergraph has at most (s + 1) ( 2k−2 k−1 ) edges. We prove a strengthened version of this conjecture and determine the extremal graphs. We also give some related result...
متن کاملPower bounded weighted composition operators
We study when weighted composition operators Cφ,ψ acting between weighted Bergman spaces of infinite order are power bounded resp. uniformly mean ergodic.
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: Electronic Research Announcements of the American Mathematical Society
سال: 2003
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-03-00116-1