TY  - JOUR
A1  - Junek, Heinz
T1  - Zyklizität in Raum, zeit und geist : über Pflasterungen, Rollkurven, Dezimalbrüche, Schwingungen, Wellen, Iteration und Neuronale Netze
JF  - Zyklizität & Rhythmik: eine multidisziplinäre Vorlesungsreihe
Y1  - 2020
SN  - 978-3-86464-169-5
SP  - 85
EP  - 103
PB  - trafo
CY  - Berlin
ER  - 
TY  - JOUR
A1  - Junek, Heinz
A1  - Menghini, Marta
T1  - Processi di crescita e decadimento
N2  - Dynamical processes with particular reference to opposite phenomena as growth and decay, may be translated into the mathematical language of difference equations or recursive equations. Such equations can be treated in the discrete case(where the principal mathematical instrument is furnished by geometrical progressions) or in the continuous case (where the mathematical instrument is particularly represented by exponential functions and logarithms). The variety of problems and of resolution methods renders the proposed material apt to be used in a significant way in the high school.
Y1  - 2004
ER  - 
TY  - JOUR
A1  - Braunß, Hans-Andreas
A1  - Junek, Heinz
T1  - Factorization of injective ideals by interpolation
N2  - We construct a factorization of certain multilinear mappings through linear operators belonging to closed, injective operator ideals using interpolation technique. An extension of the duality theorem for interpolation spaces is also obtained.
Y1  - 2004
SN  - 0022-247x
ER  - 
TY  - JOUR
A1  - de Azevedo Botelho, Geraldo Mßrcio
A1  - Braunss, H. A.
A1  - Junek, Heinz
A1  - Pellegrino, Daniel Marinho
T1  - Inclusions and coincidences for multiple summing multilinear mappings
N2  - Using complex interpolation we prove new inclusion and coincidence theorems for multiple (fully) summing multilinear and holomorphic mappings. Among several other results we show that continuous n- linear forms on cotype 2 spaces are multiple (2; q(k),..., q(k))-summing, where 2(k-1) < n <= 2(k), q(0) = 2 and q(k+1) = 2q(k)/1+q(k) for k >= 0.
Y1  - 2009
UR  - http://www.ams.org/publications/journals/journalsframework/proc
SN  - 0002-9939
ER  - 
TY  - BOOK
A1  - Junek, Heinz
T1  - Closed ideals of polynomials
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1995
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Junek, Heinz
T1  - On unconditionally p-summing and weakly p-convergent polynomials
Y1  - 1998
ER  - 
TY  - BOOK
A1  - Junek, Heinz
T1  - Analysis : Funktionen - Folgen - Reihen
Y1  - 1998
SN  - 3-519-00212-4
U6  - https://doi.org/10.1007/978-3-322-84791-1
PB  - Vieweg+Teubner Verlag
CY  - Wiesbaden
ER  - 
TY  - BOOK
A1  - Junek, Heinz
T1  - Factorization of operator ideals and boundes sets in tensor products of locally convex spaces
T3  - Preprint / Universität Potsdam, Fachbereich Mathematik
Y1  - 1992
VL  - 1992, 16
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Junek, Heinz
A1  - Matos, Mario C.
T1  - On unconditionally p-summing and weakly p-convergent polynomials
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1996
VL  - 1996, 11
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Junek, Heinz
T1  - Factorization of operator ideals and the BB-property
Y1  - 1993
ER  - 
TY  - JOUR
A1  - Junek, Heinz
A1  - Braunß, Hans-Andreas
A1  - Botelho, Geraldo
T1  - Almost p-summing polynomials and multilinear mappings
N2  - For several applications it is very useful to classify the linear or non-linear mappings by their summability properties. Absolutely summing operators and polynomials are prominent and classical examples of such setting. Here we are interested in the larger class of almost summing polynomials and we investigate their connections to other related notions of summability.
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Junek, Heinz
A1  - Braunß, Hans-Andreas
A1  - Plewnia, Eckart
T1  - Approximation numbers for polynomials
N2  - Approximation numbers of linear operators are a very useful tool in order to understand the structure and the numerical behaviour of the operators. In this paper, this concept is extended to polynomials on Banach spaces and the approximation numbers of diagonal polynomials are estimated. As a main tool the rank of polynomials as a graduation of finite type polynomials is introduced and studied.
Y1  - 2000
ER  -