Serdica Mathematical Journal

Volume 22, Number 1, 1996


C O N T E N T S


A B S T R A C T S


EQUISUMMABILITY THEOREMS FOR LAGUERRE SERIES
El-Sayed El-Sayed Abd El-Aal El-Adad

1991 Mathematics Subject Classification: 42C10.
Key words: Riesz summability, Laguerre series.


ANALYTIC RENORMINGS OF C(K) SPACES
Petr Hajek

1991 Mathematics Subject Classification: 46B03.
Key words: analytic renormings.


A NOTE ON PRESERVED SMOOTHNESS
Wee-Kee Tang

1991 Mathematics Subject Classification: 46B03.
Key words: renormings, Gateaux differentiability, octahedral norms.


REPRESENTABLE BANACH SPACES AND UNIFORMLY GATEAUX-SMOOTH NORMS
Julien Frontisi

1991 Mathematics Subject Classification: 46B20.
Key words: Gateaux-smoothness, renormings, representable Banach spaces.


SHARP BOUNDS ON THE NUMBER OF RESONANCES FOR SYMMETRIC SYSTEMS II. NON-COMPACTLY SUPPORTED PERTURBATIONS
G. Vodev

1991 Mathematics Subject Classification: 35P25, 35J15, 47F05.
Key words: first order systems, resonances, upper bounds.


GENERALIZATIONS OF COLE'S SYSTEMS
Marat Kh. Gizatullin

1991 Mathematics Subject Classification: 05B05, 05B30, 20K01.
Key words: Steiner triple system, abelian 2-groups, abelian 3-groups, prime Mercenne numbers


A NOTE ON COERCIVITY OF LOWER SEMICONTINUOUS FUNCTIONS AND NONSMOOTH CRITICAL POINT THEORY
Corvellec, J.-N.

1991 Mathematics Subject Classification:58E05, 49J52, 58E30.
Key words: slope, variational principle, coercivity, weak slope, nonsmooth critical point theory


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