@book{Junek1992, author = {Junek, Heinz}, title = {Factorization of operator ideals and boundes sets in tensor products of locally convex spaces}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1992, 16}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {14 Bl.}, year = {1992}, language = {en} } @article{Junek1993, author = {Junek, Heinz}, title = {Factorization of operator ideals and the BB-property}, year = {1993}, language = {en} } @book{Junek1995, author = {Junek, Heinz}, title = {Closed ideals of polynomials}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {10 S.}, year = {1995}, language = {en} } @book{JunekMatos1996, author = {Junek, Heinz and Matos, Mario C.}, title = {On unconditionally p-summing and weakly p-convergent polynomials}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1996, 11}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {11 Bl.}, year = {1996}, language = {en} } @article{Junek1998, author = {Junek, Heinz}, title = {On unconditionally p-summing and weakly p-convergent polynomials}, year = {1998}, language = {en} } @article{JunekBraunssPlewnia2000, author = {Junek, Heinz and Braunß, Hans-Andreas and Plewnia, Eckart}, title = {Approximation numbers for polynomials}, year = {2000}, abstract = {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.}, language = {en} } @article{JunekBraunssBotelho2001, author = {Junek, Heinz and Braunß, Hans-Andreas and Botelho, Geraldo}, title = {Almost p-summing polynomials and multilinear mappings}, year = {2001}, abstract = {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.}, language = {en} } @article{BraunssJunek2004, author = {Braunß, Hans-Andreas and Junek, Heinz}, title = {Factorization of injective ideals by interpolation}, issn = {0022-247x}, year = {2004}, abstract = {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.}, language = {en} } @article{deAzevedoBotelhoBraunssJuneketal.2009, author = {de Azevedo Botelho, Geraldo Mßrcio and Braunss, H. A. and Junek, Heinz and Pellegrino, Daniel Marinho}, title = {Inclusions and coincidences for multiple summing multilinear mappings}, issn = {0002-9939}, year = {2009}, abstract = {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.}, language = {en} }