On connections compatible with certain structures on a Banach vector bundle

Generalized Lagrange-Weyl structures and compatible connections

Generalized Lagrange-Weyl structures and compatible connections are introduced as a natural generalization of similar notions from Riemannian geometry. Exactly as in Riemannian case, the compatible connection is unique if certain symmetry conditions with respect to vertical and horizontal Christoffel symbols are imposed. 2000 Math. Subject Classification: 53C60.

On the boundedness of almost multipliers on certain Banach algebras

Almost multiplier is rather a new concept in the theory of almost functions. In this paper we discussion the boundedness of almost multipliers on some special Banach algebras, namely stable algebras. We also define an adjoint and extension for almost multiplier.

Linear Functionals on Certain Banach Spaces

On Parallel Sections of a Vector Bundle

We consider when a smooth vector bundle endowed with a connection possesses non-trivial, local parallel sections. This is accomplished by means of a derived flag of subsets of the bundle. The procedure is algebraic and rests upon the Frobenius Theorem.

on some bayesian statistical models in actuarial science with emphasis on claim count

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