Volumes

Volume 1, Number 1, 2007

 

The first volume of the Banach Journal of Mathematical Analysis (consisting of two issues) is proudly dedicated to Professor Themistocles M. Rassias on the occasion of the 30th anniversary of his stability theorem. His works are known in the field of Mathematical Analysis as "Hyers-Ulam-Rassias Stability" or "Cauchy-Rassias Stability" and in Geometry as "Alexandrov-Rassias Problem". Most of the papers of these two special issues reflect some aspects of his wide and significant impact in Mathematical Analysis, Geometry, Topology and their applications. We wish him many more years in good health, prosperity and stability!

 

1

On Stefan Banach and some of his results

K. Ciesielski

 

 

pp. 1-10

Abstract  | Full Text

MR2350189

Zbl 1129.01007

2

On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem

L. Tan; S. Xiang

 

 

pp. 11-22

Abstract  |  Full Text

MR2350190

Zbl 1130.39027
 

3

Hyers--Ulam--Rassias stability of homomorphisms in quasi-Banach algebras

C. Park

 

 

pp. 23-32

Abstract  |  Full Tex

MR2350191

Zbl 1135.39017

 

4

A characterization of B-convexity and J-convexity of Banach spaces

K.-I. Mitani;  K.-S. Saito

 

 

pp. 33-42

Abstract  |  Full Text

MR2350192

Zbl 1136.46010
 

5

On the stability of Drygas functional equation on groups

V.A. Faiziev; P.K. Sahoo

 

 

pp. 43-55

Abstract  |  Full Text

MR2350193

Zbl 1130.39023
 

6

Some remarks on stability and solvability of linear functional equations

B. Paneah

 

 

pp. 56-65

Abstract  |  Full Text

MR2350194

Zbl 1130.39026
 

7

Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic

V.F. Babenko; M.S. Churilova

 

 

pp. 66-77

Abstract  |  Full Text

MR2350195

Zbl 1131.26010
 

8

On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules

D. Ilisevic; S. Varosanec

 

 

pp. 78-84

Abstract  |  Full Text

MR2350196

Zbl 1134.46036
 

9

A special Gaussian rule for trigonometric polynomials

G.V. Milovanovic; A.S. Cvetkovic; M.P. Stanic

 

 

pp. 85-90

Abstract  |  Full Text

MR2350197

Zbl 1140.65096

10

Stability of a Jensen type functional equation

Y.-S. Lee; S.-Y. Chung

 

 

pp. 91-100

Abstract  |  Full Text

MR2350198

Zbl 1130.39025

11

The hyperbolic square and Möbius transformations

A.A. Ungar

 

 

pp. 101-116

Abstract  |  Full Text

MR2350199

Zbl 1129.30027

 

12

Remarks on orthogonality preserving mappings in normed spaces and some stability problems

J. Chmielinski

 

 

pp. 117-124

Abstract  |  Full Text

MR2350200

Zbl 1135.46006

 

13

Superstability of multipliers and ring derivations on Banach algebras

T. Miura; H. Oka; G. Hirasawa; S.-E. Takahasi

 

 

pp. 125-130

Abstract  |  Full Text

MR2350201

Zbl 1129.46040

 

14

Some bounding inequalities for the Jacobi and related functions

H. M. Srivastava

 

 

pp. 131-138

Abstract  |  Full Text

MR2350202

Zbl 1131.26005

15

(Un)stability and bordism groups in PDE's

A. Prastaro

 

 

pp. 139-147

Abstract  |  Full Text

MR2350203

Zbl 1130.58014