Publication list of Andreas Defant

Transcription

1 Publication list of Andreas Defant A. Theses: [1] Dichotomy und Zulässigkeit linearer Differentialgleichungen in Banachräumen; Diplomarbeit (Kiel 1979), 67 pages [2] Zur Analysis des Raumes der stetigen linearen Abbildungen zwischen zwei lokalkonvexen Räumen; Dissertation (Kiel 1981), 76 pages [3] Produkte von Tensornormen; Habilitationsschrift (Oldenburg 1986), 153 pages B. Monographs: [1] Tensor norms and operator ideals; North Holland Math. Studies 176 (1993) (with K. Floret) C. Articles: [1] The precompactness-lemma for sets of operators; in: Proc. Int. Sem. Funct. Anal., Holom. and Appr. Theory, Rio de Janeiro 1981 (ed.: G. I. Zapata), North Holland Math. Studies 86, (with K. Floret) [2] The local Radon-Nikodym property for duals of locally convex spaces and the coincidence of integral and nuclear mappings; Vorlesungen aus dem Fachbereich Mathematik der Universität Essen, Heft 10 (1983), [3] The local Radon-Nikodym property for duals of locally convex spaces; Bull. Soc. Roy. Sc. Liège 53 (1984) [4] Tensor products and spaces of vectorvalued continuous functions; manuscripta math. 55 (1986) (with W. Govaerts) [5] Bornological and ultrabornological spaces of C(X, F ) type and EεF ; Math. Ann. 268 (1984) (with W. Govaerts) [6] Localization and duality of tensor products; Collectanea Math. 35 (1984) (with K. Floret) [7] Barrelledness and nuclearity; Arch. Math. 44 (1984) [8] A duality theorem for locally convex tensor products; Math. Z. 190 (1985) 45 53

2 [9] Projective tensor products of distinguished Fréchet spaces; Proc. Roy. Irish Acad. 85 (1985) (with J. Bonet) [10] The theorem of Dvoretzky-Rogers and absolutely p-summing operators; in: Seminário fluminese de análise functional e aplicacões (Rio de Janeiro, 1987) [11] On tensor stable operator ideals; Michigan Math. J. 36 (1989) (with B. Carl, M.S. Ramanujan) [12] Limit orders of ε π continuous operators; Math. Nachr. 145 (1990) (with V. Mascioni) [13] Aspects of the metric theory of tensor products and operator ideals; Note di Matematica 8 (1988) (with K. Floret) [14] Topological tensor products and the approximation property of locally convex spaces; Bull. Soc. Sc. Liège 58 (1989) (with K. Floret) [15] Absolutely summing operators and Banach spaces containing all l n p uniformly complemented; Studia Math. 95 (1990) [16] Tensor products and Grothendieck type inequalities of operators in L p - spaces; Trans. Am. Math. Soc. 331 (1992) (with B. Carl) [17] On the injective tensor product of (DF)-spaces; Arch. Math. 57 (1991) (with K. Floret, J. Taskinen) [18] On unconditional bases in spaces of holomorphic functions in infinite dimensions; Arch. Math. 56 (1991) (with L. A. Moraes) [19] Tensor products of Fréchet or (DF)-spaces with Banach spaces; J. Math. Anal. Appl. 166 (1992) (with J. Bonet, A. Galbis) [20] An inequality between the p- and (p, 1)-summing norm of finite rank operators from C(K)-spaces; Israel J. Math. 74 (1991) (with B. Carl) [21] Tensor norm techniques for the (DF)-space problem; Note di Matematica 10 (1992) (with K. Floret) [22] Continuity of tensor product operators between spaces of Bochner integrable functions; in: Progress in Functional Analysis, Proc. Peñiscola Meeting 1990 (eds. Bierstedt, Bonet, Horvath, Maestre), North-Holland Math. Studies 170 (1992) (with K. Floret) [23] Surjective A-compactness and generalized Kolmogorov numbers; Note di Matematica 11 (1991) (with M. S. Ramanujan) 2

3 [24] Property (BB) and holomorphic functions on Fréchet-Montel spaces; Math. Proc. Cambridge Phil. Soc. 115 (1993) (with M. Maestre) [25] Complexification of operators between L p -spaces; in: Functional Analysis, Proc. Essen Conf (eds. K. D. Bierstedt, A. Pietsch, W. M. Ruess, D. Vogt), Lecture Notes in Pure and Applied Math., M. Dekker, Vol. 150 (1993) [26] Coincidence of topologies on tensor products of Köthe echelon spaces; Studia Math. 111 (3) (1994) (with J. Bonet, A. Peris, M. S. Ramanujan) [27] Asymptotic estimates for approximation quantities of tensor products of operators between L p -spaces; J. Approx. Theory 88 (1997) (with B. Carl) [28] Maurey s extension theorem and Grothendieck s problème de topologies; J. of London Math. Soc. (2) 58 (1998) (with A. Peris) [29] Extension and splitting theorems for Fréchet spaces of type 2; Revista Mathematica Complutense 12(2) (1999) (with P. Domański, M. Masty lo) [30] Best constants and asymptotics of Marcinkiewicz-Zygmund inequalities; Studia Math. 125(3) (1997) (with M. Junge) [31] On some matrix inequalities in operator theory; Rev. R. Acad. Cien. Exact. Fis. Nat. (Esp.) 90 (1996) 1 8 (with M. Junge) [32] The Levy-Steinitz rearrangement theorem for duals of Fréchet spaces; Israel J. Math. 117 (2000) (with J. Bonet) [33] Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces; Positivity 5 (2001) [34] Transfer arguments for spaces of operators and tensor products; Note di Matematica 17 (1997) (with A. Peris) [35] A vector-valued Grothendieck inequality with an application to (p, q)- completely bounded operators; Indiana Math. J. 48,1 (1999) (with M. Junge) [36] An elementary approach to an eigenvalue estimate for matrices; Positivity 4 (2000) (with B. Carl) [37] Unconditional basis and Gordon-Lewis constants for spaces of polynomials; J. Func. Anal. 181 (2001) (with J. C. Diaz, D. Garcia, M. Maestre) 3

4 [38] The Pisier-Schütt theorem for spaces of polynomials; in: Proceedings of the 7 th international conference on Finite and Infinite Dimensional Complex Analysis (eds. E. Taft, Z. Nashed), Lecture Notes in Pure and Applied Series, Marcel Dekker 214 (2000) (with J.C. Diaz, D. Garcia, M. Maestre). [39] Existence of unconditional bases in spaces of polynomials and holomorphic functions; Math. Nachr (2002) (with J. C. Diaz, D. Garcia, M. Maestre) [40] On Pitt s theorem for operators between quasi Banach sequence spaces; Monatsh. Math. 130 (2000) 7 18 (with J. A. López Molina, M. J. Rivera Ortun) [41] A complex interpolation formula for tensor products of vector-valued Banach function spaces; Arch. Math. 74 (2000) (with C. Michels) [42] Complex interpolation of spaces of operators on l 1 ; Bull. Pol. Acad. 48(3) (2000) (with C. Michels) [43] Summing inclusion maps between symmetric sequence spaces; Trans. Amer. Math. Soc. 354,11 (2002) (with M. Masty lo, C. Michels) [44] Cotype 2 estimates for spaces of polynomials on sequence spaces; Israel J. Math. 129 (2002) (with M. Maestre, P. Sevilla) [45] Summing inclusion maps between symmetric sequence spaces a survey; in: Recent Progress in Functional Analysis, Proc. Valencia Meeting 2000 (eds. Bierstedt, Bonet, Maestre, Schmets), North Holland Math. Studies 189 (2001) (with M. Masty lo, C. Michels) [46] Maximal theorems of Menchoff-Rademacher type in non-commutative L q - spaces; J. Func. Anal. 206, Issue 2 (2004) (with M. Junge) [47] Summing norms of identities between unitary ideals; Math. Z. 252(4) (2006) (with M. Masty lo, C. Michels) [48] Orlicz norm estimates for eigenvalues of matrices; Israel J. Math. 132 (2002) (with M. Masty lo, C. Michels) [49] Applications of summing inclusion maps to interpolation of operators; Quart. J. Math. 51 (1) (2003) (with M. Masty lo, C. Michels) [50] Bohr s power series theorem and local Banach space theory; J. reine angew. Math. 557 (2003) (with D. Garcia, M. Maestre) [51] Composition of (E, 2)-summing operators; Studia Math. 159(1) (2003) (with M. Masty lo) 4

5 [52] Eigenvalue estimates for operators on symmetric sequence spaces; Proc. Amer. Math. Soc. 132 (2004) (with M. Masty lo, C. Michels) [53] Maximum moduli of unimodular polynomials in several variables; J. Korean Math. Soc. 41 (2004) (with D. Garcia, M. Maestre) [54] Asymptotic estimates for Bohr radii of Reinhardt domains; J. Approx. Theory 128 (2004) (with D. Garcia, M. Maestre) [55] Maurey-Rosenthal factorization of positive operators and convexity; J. Math. Anal. Appl. 297 (2004) (with E. Sanchez Perez) [56] Unconditionality in spaces of m-homogeneous polynomials on Banach spaces; Quart. J. Math. 56 (2005) (with N. Kalton). [57] Norms of tensor product identities; Note di Matematica 25 (1) (2005/06) (with C. Michels). [58] On interpolation of tensor products of Banach spaces; Rev. R. Acad. Cien. Serie A. Mat. 97 (2) (2003) (with M. Masty lo, C. Michels). [59] A logarithmical lower bound for multi dimensional Bohr radii; Israel. J. Math. 152 (2006) (with L. Frerick). [60] Harald Bohr meets Stefan Banach; London Math. Soc. Lecture Note Series 337 (2006) (with C. Prengel) [61] Extension of multilinear forms and polynomials from subspaces of L 1 - spaces; Houston J. Math. 33 (3) (2007) (with D. Garcia, M. Maestre, D. Perez-Garcia) [62] A tensor norm preserving unconditionality for L p -spaces; Trans. Amer. Math. Soc. 360 (6) (2008) (with D. Perez-Garcia) [63] Classical summation methods in Banach function spaces; Bull. Belg. Math. Soc. Simon Stevin 14 (3) (2007) (with M. Junge) [64] The arithmetic Bohr radius; Quart. J. Math. 59 (2008) (with M. Maestre, C. Prengel) [65] Domination of operators on Köthe function spaces ; Math. Proc. Cambridge Phil. Soc. 146 (2009) (with E. Sanchez Perez) [66] Local solvability of the -equation in Banach spaces; Arch. Math. 90 (2008) (with A. Zerhusen) [67] Volume estimates in spaces of homogeneous polynomials; Math. Z. 261 (2009) (with C. Prengel) 5

6 [68] Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables; to appear in J. reine angew. Math (with M. Maestre, C. Prengel) [69] Bohr s strip for vector-valued Dirichlet series; Math. Ann. 342, no.3 (2008) (with D. Garcia, M. Maestre, [70] New strips of convergence for Dirichlet series; to appear in Publicacions Matemtiques 2009 (with D. Garcia, M. Maestre, D. Perez-Garcia) [71] A new multilinear insight on Littlewood s 4/3-inequality; J. Func. Anal. 256 (2009) (with P. Sevilla-Peris) [72] Convergence of Dirichlet polynomials in Banach spaces; to appear in Trans. Amer. Math. Soc (with P. Sevilla-Peris) [73] Convergence of monomial series expansions of holomorphic functions in Banach spaces; preprint 2009 (with P. Sevilla-Peris) [74] The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive; preprint 2009 (with L. Frerick, J. Ortega-Cerda, M. Ounaïes, K. Seip) [75] The Bohr radius of the unit ball of l n p ; preprint 2009 (with L. Frerick) [76] Coordinate wise multiple summing operators in Banach spaces; preprint 2009 (with D. Popa, U. Schwarting) D. In preparation: [1] Translation invariant operators of strong type (r, r) on Banach function spaces (with E. Sanchez-Perez, I. Steinwart); [2] Classical summation in commutative and noncommutative L p -spaces; [3] Interpolation of regular operators (with M. Masty lo); [4] Littlewood type inequalities by interpolation (with M. Masty lo, C. Michels); [5] The Bohr radius for vector valued holomorphic functions (with M. Maestre). 6