Results 21 to 30 of about 544 (53)

Some versions of Anderson′s and Maher′s inequalities II

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3355-3372, 2003., 2003
We are interested in the investigation of the orthogonality (in the sense of Birkhoff) of the range of an elementary operator and its kernel.
Salah Mecheri
wiley   +1 more source

Generalized derivation modulo the ideal of all compact operators

International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 501-506, 2002., 2002
We give some results concerning the orthogonality of the range and the kernel of a generalized derivation modulo the ideal of all compact operators.
Salah Mecheri, Ahmed Bachir
wiley   +1 more source

A note on uniformly dominated sets of summing operators

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 307-312, 2002., 2002
Let Y be a Banach space that has no finite cotype and p a real number satisfying 1 ≤ p < ∞. We prove that a set ℳ ⊂ Πp(X, Y) is uniformly dominated if and only if there exists a constant C > 0 such that, for every finite set {(xi, Ti) : i = 1, …, n} ⊂ X × ℳ, there is an operator T ∈ Πp(X, Y) satisfying πp(T) ≤ C and ‖Tixi‖ ≤ ‖Txi‖ for i = 1, …, n.
J. M. Delgado, C. Piñeiro
wiley   +1 more source

Strongly Lipschitz up-Nuclear Operators

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper, we introduce the notion of strongly Lipschitz up-nuclear operators. Among other results, we prove an analog of the factorization theorem for these classes and characterize their conjugates.
Belacel Amar, Bey Khedidja
doaj   +1 more source

Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces [PDF]

, 2018
In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators byshowing classical multilinear ...
Cardona Sanchez, Duvan, Kumar, Vishvesh
core   +1 more source

Geometric properties of composition operators belonging to Schatten classes

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 4, Page 239-248, 2001., 2001
We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto′s conjectures and show a new compact composition operator which is not in any of ...
Yongsheng Zhu
wiley   +1 more source

Putnam‐Fuglede theorem and the range‐kernel orthogonality of derivations

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 573-582, 2001., 2001
Let ℬ(H) denote the algebra of operators on a Hilbert space H into itself. Let d = δ or Δ, where δAB : ℬ(H) → ℬ(H) is the generalized derivation δAB(S) = AS − SB and ΔAB : ℬ(H) → ℬ(H) is the elementary operator ΔAB(S) = ASB − S. Given A, B, S ∈ ℬ(H), we say that the pair (A, B) has the property PF(d(S)) if dAB(S) = 0 implies dA∗B∗(S)=0.
B. P. Duggal
wiley   +1 more source

(r, p)‐absolutely summing operators on the space C (T, X) and applications

Abstract and Applied Analysis, Volume 6, Issue 5, Page 309-315, 2001., 2001
We give necessary and sufficient conditions for an operator on the space C (T, X) to be (r, p)‐absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r, p)‐absolutely summing operator is an (r, p)‐absolutely summing operator.
Dumitru Popa
wiley   +1 more source

A note on positive $\mathcal{AN}$ operators

, 2018
We show that positive absolutely norm attaining operators can be characterized by a simple property of their spectra. This result clarifies and simplifies a result of Ramesh. As an application we characterize weighted shift operators which are absolutely
Doust, Ian
core   +1 more source

Bounded sets in the range of an X∗∗‐valued measure with bounded variation

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 1, Page 21-30, 2000., 2000
Let X be a Banach space and A ⊂ X an absolutely convex, closed, and bounded set. We give some sufficient and necessary conditions in order that A lies in the range of a measure valued in the bidual space X∗∗ and having bounded variation. Among other results, we prove that X∗ is a G.
B. Marchena, C. Piñeiro
wiley   +1 more source