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Equivalent Banach operator ideal norms1
(Hikari: International Journal of mathematical analysis, 2012-12-01)
We present some results concerning the general theory of Banach ideals of operators and give several applications to Banach space theory. We give, in Section 3, new proofs of several recent results, as well as new operator ...
Unconditional ideals in Banach spaces
(Scientific advances, 2012-07-14)
Let wL ′ denote the assignment which associates with each pair of Banach
spaces X , Y, the vector space L ( ) X Y w , ′ and K(X, Y ) be the space of all
compact linear operators from X to Y. Let T L ( ) X Y w , ′ ∈ and ...
Unconditional banach space ideal property
(Journal of mathematical sciences advances and applications, 2012)
A Banach X is an M-ideal in its bidual if the relation
\\y^t\\ = \\y\\ + 11^1 1
holds for every y € X* and every t e X1
£ j^***. The spaces Co(J) — /
any set-equipped with their canonical norm belong to this class, ...
On characterization of u-ideals determined by sequences
(2012)
The area of ideals is important in the study of Analysis, algebra, Geometry and
Computer science. The various types of ideals have been studied, for example
m ideals and h ideals. The m ideals defined on real Banach ...
On redemacher boundedness in operator – norm
(Journal of agriculture, pure and applied science and technology, 2012)
In these lecture notes we report on recent breakthroughs in the functional analytic approach to maximal regularity for parabolic evolution equations, which set off a wave of activity in the last years and allowed to establish ...
Equivalent banach operator ideal norms
(International journal of mathematical analysis, 2012)
We continue the investigation of coorbit spaces which can be attached to every integrable, irreducible, unitary representation of a locally compact groupG and every reasonable function space onG. Whereas Part I was devoted ...