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The unit ball of \(L_s(^2l_{\infty}^3)\)

100%

Kim S. G.

nr 1

We classify the extreme and exposed symmetric bilinear forms of the unit ball of the space \({\mathcal L}_s(^2l_{\infty}^3)\).

The unit ball of Ls(2l3∞)

100%

Kim S. G.

tom Vol 57, No. 1

1--7

We classify the extreme and exposed symmetric bilinear forms of the unit ball of the space Ls(2l3∞).

Second-order viability problem: a baire category approach

100%

Aitalioubrahim M. , Sajid S.

tom Vol. 57, no 1

9-23

The paper deals with the existence of viable solutions to the differential inclusion x(t) ∈ ƒ(t, x(t)) + ext F(t, x(t)), where ƒ is a single-valued map and ext F(t, x) stands for the extreme points of a continuous, convex and noncompact set-valued mapping F with nonempty interior.

Remarks on the spectrum of a compact convex set of compact operators

75%

Pham K. A. , Nguyen X. T.

tom Vol. 16, nr 2

259-264

In this note we derive a necessary and sufficient condition for a compact convex set of linear compact operators acting in a complex Hilbert space to have the spectrum outside a prescribed closed convex subset of the complex plane.

On some coefficient conditions for complex harmonic mappings with a pole at the infinity

63%

Sibelska A.

tom Vol. 39, nr 2

335-346

In 1984 J. Clunie and T. Sheil-Small initiated studies of complex functions harmonic in the unit disc. In 1987 W. Hergartner and G. Schober considered mappings of this type, defined in the domain U = {z is an element of C : \z\ > 1}. Several mathematicians examine classes of complex harmonic functions with some coefficient conditions, defined in the unit disc (e.g. [2], [5], [10], [1] [9]) or in U (e.g. [8], [7]). We investigate the classes of mappings harmonic in U with coefficient conditions more general than the considered in paper [8].

A class of harminic starlike functions with respect to other points defined by Dziok-Srivastava operator

63%

Murugusundaramoorthy G. , Vijaya K. , Auof M. K.

tom Vol. 30

113-124

Making use of Dziok-Srivastava operator we introduced a new class of complex-valued harmonie functions which are orientation preserving, univalent and starlike with respect to other points. We investigate the coefficient bounds.distortion inequalities, extreme points and inclusion results for the generalized class of functions.

Set-valued version of Sincov's functional equation

63%

Smajdor W.

tom Vol. 39, nr 1

101-105

We investigate selections of set-valued solutions of Sincov's functional equation that satisfy the same equation.