Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index

Invariant Subspaces of Bergman Spaces on Slit Domains

In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces A(G) and A(G\K), where 1 < p <∞, G is a bounded region in C, and K is a closed subset of a simple, compact, C arc.

BANACH SPACES OF POLYNOMIALS AS “LARGE” SUBSPACES OF l∞-SPACES

In this note we study Banach spaces of traces of real polynomials on R to compact subsets equipped with supremum norms from the point of view of Geometric Functional Analysis.

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

ε-weakly Chebyshev subspaces and quotient spaces

Invertibility in Infinite-dimensional Spaces

An interesting result of Doyle and Hocking states that a topological n-manifold is invertible if and only if it is a homeomorphic image of the n-sphere S. We shall prove that the sphere of any infinite-dimensional normed space is invertible. We shall also discuss the invertibility of other infinite-dimensional objects as well as an infinite-dimensional version of the Doyle-Hocking theorem.