Functional analysis on normed spaces: the Banach space comparison.
Functional analytic characterization of classes of convex bodies.
Functional Banach spaces of holomorphic functions on Reinhardt domains
Functional calculus and spectral theory of locally C*-sums of locally m-convex C*-algebras
Functional calculus and the Gelfand transformation
Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces
This paper is mainly concerned with extensions of the so-called Vishik functional calculus for analytic bounded linear operators to a class of unbounded linear operators on . For that, our first task consists of introducing a new class of linear operators denoted and next we make extensive use of such a new class along with the concept of convergence in the sense of resolvents to construct a functional calculus for a large class of unbounded linear operators.
Functional calculus in weighted group algebras.
Let G be a compactly generated, locally compact group with polynomial growth and let ω be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.
Functional continuity of commutative m-convex -algebras with countable maximal ideal spaces
Functional differential equations of the Cauchy-Kowalewsky type.
Functional Equations and Linear Transformations. IV. Interpolation.
Functional Equations and Tempered Ultradistributions
Functional equations and tempered ultradistributions.
Functional integration for euclidean Dirac fields
Functional models and asymptotically orthonormal sequences
Suppose is the Hardy space of the unit disc in the complex plane, while is an inner function. We give conditions for a sequence of normalized reproducing kernels in the model space to be asymptotically close to an orthonormal sequence. The completeness problem is also investigated.
Functional properties of C(X) and chain conditions on X
Functional-analytic properties of Corson-compact spaces
Functionals Close to Each Other.
Functionals on Banach Algebras with Scattered Spectra
Let A be a complex, commutative Banach algebra and let be the structure space of A. Assume that there exists a continuous homomorphism h:L¹(G) → A with dense range, where L¹(G) is a group algebra of the locally compact abelian group G. The main results of this note can be summarized as follows: (a) If every weakly almost periodic functional on A with compact spectra is almost periodic, then the space is scattered (i.e., has no nonempty perfect subset). (b) Weakly almost periodic functionals...
Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes
The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.
Functions in the space at boundary points of the interior.