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Highly Cited

2008

Highly Cited

2008

We propose the class of uniformly convex $W$-hyperbolic spaces with monotone modulus of uniform convexity ($UCW$-hyperbolic… Expand

Highly Cited

1999

Highly Cited

1999

Abstract Let Ω k ⊂ C denote a domain, such that 1∈Ω k and ∂Ω k is a conic section, with eccentricity equal to 1/k. In this paper… Expand

Highly Cited

1993

Highly Cited

1993

We investigate starlike functions f(z) = z + Yfk=2akzk wim the property that zf'(z)/'f(z) lies inside a certain parabola. These… Expand

Highly Cited

1991

Highly Cited

1991

Abstract Let X be a real Banach space with dual X ∗ and moduli of convexity and smoothness δ X ( e ) and ϱ X ( τ ), respectively… Expand

Highly Cited

1991

Highly Cited

1991

We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex… Expand

Highly Cited

1984

Highly Cited

1974

Highly Cited

1974

There is a uniformly convex Banach space with unconditional basis which contains no subspace isomorphic to any lp (1 p ~). The… Expand

Highly Cited

1955

Highly Cited

1955

which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one… Expand

Highly Cited

1953

Highly Cited

1953

(b) Show that if X is uniformly convex and (xn) ⊂ X such that lim n→∞ ‖xn‖ = 1 and lim n,m→∞ ‖xn + xm‖ = 2, then (xn) is… Expand

Highly Cited

1941

Highly Cited

1941

Let {Bi,i = l, 2, • . . } be a sequence of Banach spaces, and define B = P\Bi} to be the space of sequences b={bi} with biÇ^Bi… Expand