ISSN 0365-1029
ANNALES
UNIVERSITATIS
MARIAE CURIE-SKŁODOWSKA
Sectio A
Mathematica
LUBLIN
NAKŁADEM UNIWERSYTETU MARII CURIE-SKŁODOWSKIEJ
ANNALES
UNI VERSIT ATIS MARIAE
CURIE-SKLODOWSKA LUBLIN-POLONIAVOL.XLVI__________________________SECTIO A_____________________________________1992
AnnalesUniversitatis Mariae Curie Sklodowska Sectio A Mathematica is published by the Editorial Office oftheuniversity andendeavours to publish significant research papers in someselected areas of mathematicscomplying with scientificinterest of our faculty, i.e. complex analysis, differential equations, differential geometry,functional analysis, probability. One volume of159-200 pages is published each year.
To submita paperfor publication, an author should send twocopies of the manuscript to the following address:
Redakcja Annales UMCS Sectio A (Mathematica) PlacM. Curie-Sklodowskiej 5
20-031 Lublin, Poland.
The submission of a paperimpliesthe author’s assurancethat it has not beenpublished, or submitted for publicationelsewhere. Preference willbe given to manuscriptsnolonger than 30 pages written in IfeX, possibly in english. Authors of published papers will receive25 off-prints. Manuscripts submitted for publication should be neatlytyped onone side of thepageonly, double spaced, with generous margins. Diagramsshouldbe drawn with black Indiaink on separatesheets of glossy whitepaper andbe submitted for photographicreproduction. References should beinalphabetic- chronological order, abbreviations of namesof journals and references to books shouldfollowthe standard form established by MathematicalReviews, After thereferee’s approval, the authorsof papers written in 'IfeXwillbe requestedto submit the diskette.
ISSN 0365-1029
ANNALES
UNIVERSITATIS
MARIAE CURIE -SKŁODOWSKA
Sectio A
Mathematica
Vol. XLVI
---s--- At
1992
LUBLIN
NAKŁADEM UNIWERSYTETU MARII CURIE-SKLODOWSKIEJ
KOMITET REDAKCYJNY I
REDAKTOR NACZELNY DrGrzegorz LeopoldSeidlcr,Prof.UMCS
ZASTĘPCY REDAKTORA NACZELNEGO
Dr Wiesław Skrzydło,Prof.UMCS, DrWiesław Śladkowski, Prof.UMCS
REDAKTORZYSEKCJI
A (Mathematica) — DrAdam Bielecki, Prof. UMCS, Dr JanKrzyż, Prof. UMCS A(Chemia) — Dr Kazimierz Sykut, Prof. UMCS
AAA(Physica) — DrMieczysław Subotowicz, Prof. UMCS B (Geographia,
Geologia etc.) — DrJózef Wojtanowicz, Prof. UMCS C (Biologia) — Dr Zbigniew Lorkiewicz, Prof. UMCS
D(Medicina) — Dr StanisławBryc, Prof. Akad. Med.w Lublinie DD (Medicina
Veterinaria)— Dr Jan Gliński, Prof. Akad. Roln. w Lublinie E (Agricultura) —Dr AdamSzember, Prof. Akad. Roln.w Lublinie EE (Zootechnice) — Dr Marian Budzyński, Prof. Akad.Roln. wLublinie F (Historia) — Dr Wiesław Śladkowski, Prof. UMCS
FF (Philologiae) ■— Dr Alina Aleksandrowicz, Prof.UMCS G (Ius) — Dr WiesławSkrzydło, Prof. UMCS
— Dr Antoni Pieniążek,Doc. UMCS - zastępca redaktora H (Oeconomia) — Dr Ryszard Orłowski, Prof. UMCS
I (Philosophia -
-Sociología) —Dr ZdzisławCackowski, Prof. UMCS J (Psychologia -
- Paedagogia)— Dr StanisławPopek,Prof. UMCS
RECENZENCI J. Banaś,R. Jajte, J.Kisyński, J.G. Krzyż,J. Przeworska-Rolewicz, D.Szynal
Opracowanieredakcyjne: Lech Maliszewski Skład systememT^X: J. Kukawska, D. Partyka
TABLE OF CONTENTS
1. A. BARTOSZEWICZ
On Almost Uniform Convergence ofSomeSequences of States onInfinite
Tensor Products ofVon Neumann Algpbras... ...1 2. A. BARTOSZEWICZ
On the *-Weak Lawof Large Numbers in theIncompleteTensor Product
of W*-algebras ... ...5 3. Z. BINDERMAN
PeriodicSolutions ofEquations of HigherOrderwith Right InvertibleOperators, Inducedby Functional Shifts Some RemarksonaDistortion Lemma ...9 4. L. GRUSZECKI
A Noteon a Mmetric on 1] Space... 23 5. W.KACZOR , W.ZYGMUNT
On DifferentialInclusions with an Advanced Argument... .. 33 6. A. KRAJKA,Z.RYCHLIK
The Rate ofConvergence of Randomly Indexed Sums of IndependentRandom
Variables to a Stable Law ...43 7. J. G. KRZYŻ
SomeRemarks on theMaxima of Inner Conformal Radius...57 8. R. K Ü H N A U
Maxima beim konformenRadius einfach zusammenhängenderGebiete...63 9. M. MURAT
An Inversion Formula for the Laplace Transform...75
10 D. PARTYKA
Spectral Valuesand Eigenvaluesof a Quasicircle... ... 81 11- S. YAMASHITA
The Peak Sets...99 12. A. ZAP ALA
StrongLimit Theorems for the Growth ofIncrementsof Additive Processes
in Groups. Part II. Additive Processesin Groups...113
