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 space .
Some remarks on the surjectivity spectrum of linear operators
Some remarks on the theory of the Laguerre-Pinney transformation.
Some remarks on the theory of the Laguerre-Pinney transformation.(Short Communication).
Some remarks on the triangle inequality for norms.
Some remarks on the uniform approximation property in Banach spaces
Some Remarks on the Weak Topology of Locally Convex Spaces
Some remarks on Triebel 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 remarks on variational problems for functionals with growth
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 about Banach compact algebras
Some results about Beurling algebras with applications to operator theory
We prove that certain maximal ideals in Beurling algebras on the unit disc have approximate identities, and show the existence of functions with certain properties in these maximal ideals. We then use these results to prove that if T is a bounded operator on a Banach space X satisfying as n → ∞ for some β ≥ 0, then diverges for every x ∈ X such that .
Some Results about the Spectrum of Commutative Banach Algebras under the Weak Topology and Applications.