Results 21 to 30 of about 169 (75)
Weak compactness of operators acting on o–O type spaces [PDF]
, 2014 We consider operators T : M_0 -> Z and T : M -> Z, where Z is a Banach space and (M_0, M) is a pair of Banach spaces belonging to a general construction in which M is defined by a "big-O" condition and M_0 is given by the corresponding "little-o ...
Bessaga +7 more
core +2 more sources
Similarity of Operators in the Bergman Space Setting
, 2012 We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where ...
Douglas, Ronald G. +2 more
core +1 more source
Factorable bounded operators and Schwartz spaces
, 1974 A necessary condition for factoring continuous linear maps with domain co or 1l through a class of spaces which include the 4p spaces (in fact, include the Y, spaces) for 2_p Z and J:Z-* Y such that S=JT.
Steven F. Bellenot
semanticscholar +1 more source
Most similarity orbits are strongly dense
, 1979 It is shown that the strong and weak closures of the similarity orbit of an operator on a Banach space always coincide, and a simple characterization of these closures is given.
D. Hadwin +3 more
semanticscholar +1 more source
Some Slater\u27s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]
, 2016 Some trace inequalities of Slater type for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir Silvestru Sever
core +5 more sources
Cyclic vectors of a cyclic operator span the space
, 1972 If a bounded linear operator on a Banach space has a cyclic vector, then the set of cyclic vectors spans the space. In their paper [1], B. Sz.-Nagy and C.
L. Gehér
semanticscholar +1 more source
Almost open mappings between normed spaces
, 1984 The almost open bounded linear operators between two normed spaces form an open set whose topological boundary is disjoint from the operators which are bounded below. Introduction. Suppose X and Y are real or complex normed spaces, and write BY(X, Y) for
R. Harte
semanticscholar +1 more source
Similarity of operators and geometry of eigenvector bundles [PDF]
, 2009 We characterize the contractions that are similar to the backward shift in the Hardy space H².
Kwon, H.-K., Treil, S.
core +3 more sources
Generalized algebraic operators
, 1975 A class of polynomially bounded operators satisfying an Hm function is introduced and some results relating to the C0 class of contractions introduced by Sz.-Nagy and Foias are generalized. Let J be a complex Hilbert space. Recall that an operator T on J
P. Ghatage
semanticscholar +1 more source
Almost exactness in normed spaces
, 1987 "Almost exactness" is defined for pairs of bounded operators between normed spaces. Introduction. If T: X -+ Y and S: Y -+ Z are linear operators between linear spaces for which (0.1) SL(0) = T(X), then the pair (S,T) is sometimes described as "exact ...
R. Harte
semanticscholar +1 more source