Some remarks on the duality mapping
Some remarks on the equality
We show that the equality is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product of two Banach spaces under some approximation property type assumptions.
Some Remarks On The Fixed Point Stability For Nonexpansive Mappings
Some remarks on the Gurarij space
Some remarks on the history of functional analysis.
Some remarks on the interpolation spaces
Let be a regular interpolation couple. Under several different assumptions on a fixed , we show that for every . We also deal with assumptions on , the closure of in the dual of .
Some remarks on the triangle inequality for norms.
Some remarks on the uniform approximation property in Banach spaces
Some remarks on ultrapowers and superproperties of the sum and interpolation spaces of Banach spaces
Some remarks on universality properties of
We prove that if is not a Kunen cardinal, then there is a uniform Eberlein compact space K such that the Banach space C(K) does not embed isometrically into . We prove a similar result for isomorphic embeddings. Our arguments are minor modifications of the proofs of analogous results for Corson compacta obtained by S. Todorčević. We also construct a consistent example of a uniform Eberlein compactum whose space of continuous functions embeds isomorphically into , but fails to embed isometrically....
Some results about absolute summability of operators in Banach spaces.
In order to study the absolute summability of an operator T we consider the set ST = {{xn} | ∑||Txn|| < ∞}. It is well known that an operator T in a Hilbert space is nuclear if and only if ST contains an orthonormal basis and it is natural to ask under which conditions two orthonormal basis define the same left ideal of nuclear operators. Using results about ST we solve this problem in the more general context of Banach spaces.
Some Results Concerning the M-Structure of Operator Spaces.
Some results in representable Banach spaces.
Some results are presented, concerning a class of Banach spaces introduced by G. Godefroy and M. Talagrand, the representable Banach spaces. The main aspects considered here are the stability in forming tensor products, and the topological properties of the weak* dual unitball.
Some results on submodules of
Some results on Banach spaces without local unconditional structure
Some results on injective Banach lattices
Some results on intersection properties of balls in complex Banach spaces
Some results on norm attaining bilinear forms on L1[0,1].
We characterize the norm attaining bilinear forms on L1[0,1], and show that the set of norm attaining ones is not dense in the space of continuous bilinear forms on L1[0,1].
Some results on order weakly compact operators
We establish some properties of the class of order weakly compact operators on Banach lattices. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms.
Some results on packing in Orlicz sequence spaces
We present monotonicity theorems for index functions of N-fuctions, and obtain formulas for exact values of packing constants. In particular, we show that the Orlicz sequence space generated by the N-function N(v) = (1+|v|)ln(1+|v|) - |v| with Luxemburg norm has the Kottman constant , which answers M. M. Rao and Z. D. Ren’s [8] problem.