منابع مشابه
Commutators on L p , 1 ≤ p < ∞ †
The operators on Lp = Lp[0, 1], 1 ≤ p < ∞, which are not commutators are those of the form λI + S where λ , 0 and S belongs to the largest ideal in L(Lp). The proof involves new structural results for operators on Lp which are of independent interest.
متن کاملStabilizing isomorphisms from l p ( l 2 ) into L p [ 0 , 1 ]
Let 1 < p ̸= 2 < ∞, ε > 0 and let T : lp(l2) into → Lp[0, 1] be an isomorphism Then there is a subspace Y ⊂ lp(l2), (1 + ε)-isomorphic to lp(l2), such that: T|Y is an (1+ ε)-isomorphism and T (Y ) is Kp-complemented in Lp [0, 1], with Kp depending only on p. Moreover, Kp ≤ (1 + ε)γp if p > 2 and Kp ≤ (1 + ε)γp/(p−1) if 1 < p < 2, where γr is the Lr norm of a standard Gaussian variable.
متن کاملSome properties of James type constant
Recently Takahashi has introduced James type constant. In this paper, we will introduce some new properties of the constant such as monotonicity, uniform non-squareness characterized by James type constant, and so on. We also investigate some relations between James type constant and other constants. Our main results of the paper are three examples of the constant. These examples include lp (p ...
متن کاملL p-SPACES FOR 0 < p < 1
In a first course in functional analysis, a great deal of time is spent with Banach spaces, especially the interaction between such spaces and their dual spaces. Banach spaces are a special type of topological vector space, and there are important topological vector spaces which do not lie in the Banach category, such as the Schwartz spaces. The most fundamental theorem about Banach spaces is t...
متن کاملDiscussion of "On simulation and properties of the stable law" by L. Devroye and L. James
We wish to congratulate the authors for their brilliant and remarkable piece of work. This is an excellent overview of methods for generating random variables associated to the stable distribution. We are also impressed by the number of distributional identities they have singled out and by the useful and systematic account of the literature in the field. In addition to being of great interest ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2015
ISSN: 1029-242X
DOI: 10.1186/s13660-015-0598-3