Generalization of Johnson's theorem for weighted semigroup algebras.
Generalization of projection constants: sufficient enlargements.
Generalization of the formula of Faa di Bruno for a composite function with a vector argument.
Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II
The Newman-Shapiro Isometry Theorem is proved in the case of Segal-Bargmann spaces of entire vector-valued functions (i.e. summable with respect to the Gaussian measure on ℂⁿ). The theorem is applied to find the adjoint of an unbounded Toeplitz operator with φ being an operator-valued exponential polynomial.
Generalization of the Shirali-Ford theorem in Hermitian locally multiplicatively convex algebras
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces
Generalization of the topological algebra
We study subalgebras of equipped with topologies that generalize both the uniform and the strict topology. In particular, we study the Stone-Weierstrass property and describe the ideal structure of these algebras.
Generalization of the weak amenability on various Banach algebras
The generalized notion of weak amenability, namely -weak amenability, where are continuous homomorphisms on a Banach algebra , was introduced by Bodaghi, Eshaghi Gordji and Medghalchi (2009). In this paper, the -weak amenability on the measure algebra , the group algebra and the Segal algebra , where is a locally compact group, are studied. As a typical example, the -weak amenability of a special semigroup algebra is shown as well.
Generalizations of Hankel operators
Generalizations of non-commutative neutrix convolution products of functions.
Generalizations of the Lax-Milgram theorem.
Generalizations of the triangle inequality.
Generalized Alexandroff Duplicates and CD 0(K) spaces
We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].
Generalized almost convergence and Knopp's core theorem
Generalized almost periodic functions
Generalized analytic functions with applications to singular ordinary and partial differential equations [Book]
Generalized atomic subspaces for operators in Hilbert spaces
We introduce the notion of a -atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of -fusion frames. Also, we shall describe the concept of frame operator for a pair of -fusion Bessel sequences and some of their properties.
Generalized Banach-Mazur distance
Generalized Besov type spaces on the Laguerre hypergroup
In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we give some characterizations using different equivalent norms which allows to reach results of completeness, continuous embeddings and density of some subspaces. A generalized Calderón-Zygmund formula adapted to the harmonic analysis on the Laguerre Hypergroup is obtained inducing two more equivalent norms.
Generalized Bochner-Schwartz theorem for tempered ultradistributions.