A Note on the Raical of a Banach Algebra.
A note on the singular spectrum.
We compare the singular spectrum of a Banach algebra element with the usual spectrum and exponential spectrum.
A note on the spaces and .
A note on the spaces of type q-dimensional case
A note on the spectral mapping theorem
A note on the structure of WUR Banach spaces
We present an example of a Banach space admitting an equivalent weakly uniformly rotund norm and such that there is no , for any set , linear, one-to-one and bounded. This answers a problem posed by Fabian, Godefroy, Hájek and Zizler. The space is actually the dual space of a space which is a subspace of a WCG space.
A Note on the Topology Associated with a Local Convex Space
A note on the topology associated with a locally convex space.
A note on the von Neumann algebra underlying some universal compact quantum groups.
A note on Toeplitz operators on Bergman spaces
A note on topologically nilpotent Banach algebras
A Banach algebra A is said to be topologically nilpotent if tends to 0 as n → ∞. We continue the study of topologically nilpotent algebras which was started in [2]
A note on Tsirelson type ideals
Using Tsirelson’s well-known example of a Banach space which does not contain a copy of or , for p ≥ 1, we construct a simple Borel ideal such that the Borel cardinalities of the quotient spaces and are incomparable, where is the summable ideal of all sets A ⊆ ℕ such that . This disproves a “trichotomy” conjecture for Borel ideals proposed by Kechris and Mazur.
A Note on Vanishing of the Factor Ext for Köthe Spaces.
A note on wavelet bases in function spaces
A note on weakly Lindelöf determined Banach spaces
We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.
A Note on Weighten Integrals of Analytic Functions
A note on Zemanian spaces.
A note on -multiplier convergent series
A notion of Orlicz spaces for vector valued functions
The notion of the Orlicz space is generalized to spaces of Banach-space valued functions. A well-known generalization is based on -functions of a real variable. We consider a more general setting based on spaces generated by convex functions defined on a Banach space. We investigate structural properties of these spaces, such as the role of the delta-growth conditions, separability, the closure of , and representations of the dual space.
A numerical invariant for finitely generated groups via actions on graphs.