Banach J. Math. Anal.
Volume 1, Number 1, 2007
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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! |
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1 |
On Stefan Banach and some of his results K. Ciesielski
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pp. 1-10 |
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2 |
On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem L. Tan; S. Xiang
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pp. 11-22 |
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3 |
Hyers--Ulam--Rassias stability of homomorphisms in quasi-Banach algebras C. Park
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pp. 23-32 |
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4 |
A characterization of B-convexity and J-convexity of Banach spaces K.-I. Mitani; K.-S. Saito
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pp. 33-42 |
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5 |
On the stability of Drygas functional equation on groups V.A. Faiziev; P.K. Sahoo
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pp. 43-55 |
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6 |
Some remarks on stability and solvability of linear functional equations B. Paneah
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pp. 56-65 |
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Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic V.F. Babenko; M.S. Churilova
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pp. 66-77 |
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8 |
On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules D. Ilisevic; S. Varosanec
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pp. 78-84 |
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9 |
A special Gaussian rule for trigonometric polynomials G.V. Milovanovic; A.S. Cvetkovic; M.P. Stanic
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pp. 85-90 |
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10 |
Stability of a Jensen type functional equation Y.-S. Lee; S.-Y. Chung
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pp. 91-100 |
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11 |
The hyperbolic square and Möbius transformations A.A. Ungar
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pp. 101-116 |
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12 |
Remarks on orthogonality preserving mappings in normed spaces and some stability problems J. Chmielinski
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pp. 117-124 |
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13 |
Superstability of multipliers and ring derivations on Banach algebras T. Miura; H. Oka; G. Hirasawa; S.-E. Takahasi
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pp. 125-130 |
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14 |
Some bounding inequalities for the Jacobi and related functions H. M. Srivastava
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pp. 131-138 |
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15 |
(Un)stability and bordism groups in PDE's A. Prastaro
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pp. 139-147 |