eBook ISBN:  9780821879115 
Product Code:  CONM/321.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821879115 
Product Code:  CONM/321.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 321; 2003; 378 ppMSC: Primary 22; 46; 47; 51
This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was devoted to recent advances in theories of Banach spaces and linear operators.
Included in the volume are 25 papers, some of which are expository, while others present new results. The articles address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative \(L_p\)spaces via interpolation, Banach spaces with abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeterinvariant polyhedra, uniqueness of unconditional bases in quasiBanach spaces, dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids.
The book is suitable for graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.
ReadershipGraduate students and research mathematicians interested in Banach spaces and operator theory and their applications.

Table of Contents

Articles

María D. Acosta, Julio Becerra Guerrero and Manuel Ruiz Galán — Characterizations of the reflexive spaces in the spirit of James’ Theorem [ MR 1978803 ]

Fernando Albiac, Nigel J. Kalton and Camino Leránoz — Uniqueness of unconditional bases in quasiBanach spaces [ MR 1978804 ]

George Androulakis — A note on the method of minimal vectors [ MR 1978805 ]

Joe Diestel, Jan Fourie and Johan Swart — The projective tensor product. I [ MR 1978806 ]

S. J. Dilworth and Vladimir G. Troitsky — Spectrum of a weakly hypercyclic operator meets the unit circle [ MR 1978807 ]

Nathan S. Feldman — The dynamics of cohyponormal operators [ MR 1978808 ]

Eva A. GallardoGutiérrez and María J. González — HilbertSchmidt composition operators on Dirichlet spaces [ MR 1978809 ]

N. J. Kalton — A remark on sectorial operators with an $H^\infty $calculus [ MR 1978810 ]

Jun Kawabe — Borel injective tensor product and convolution of vector measures and their weak convergence [ MR 1978811 ]

V. A. Khatskevich and V. S. Shulman — On linear operator pencils and inclusions of images of balls [ MR 1978812 ]

Denny H. Leung and WeeKee Tang — Ordinal indices and $l^1$spreading models [ MR 1978813 ]

Julián LópezGómez and Carlos MoraCorral — Characterizing the existence of local Smith forms for $\scr C^\infty $ families of matrix operators [ MR 1978814 ]

Nicholas McCarthy, David Ogilvie, Nahum Zobin and Veronica Zobin — Convex geometry of Coxeterinvariant polyhedra [ MR 1978815 ]

Jie Miao — Commutators on bounded symmetric domains in $\Bbb C^n$ [ MR 1978816 ]

T. L. Miller, V. G. Miller and M. M. Neumann — Growth conditions and decomposable extensions [ MR 1978817 ]

Jennifer Moorhouse and Carl Toews — Differences of composition operators [ MR 1978818 ]

Gustavo A. Muñoz — Complex vs real variables for real 3homogeneous polynomials on $l_1^2$: a counterexample [ MR 1978819 ]

Alan L. T. Paterson — The FourierStieltjes and Fourier algebras for locally compact groupoids [ MR 1978820 ]

Gabriel T. Prǎjiturǎ — Preserving the commutant under functional calculus [ MR 1978821 ]

Yves Raynaud — $L_p$spaces associated with a von Neumann algebra without trace: a gentle introduction via complex interpolation [ MR 1978822 ]

Haskell P. Rosenthal — Banach and operator space structure of $C^*$algebras [ MR 1978823 ]

Th. Schlumprecht — How many operators exist on a Banach space? [ MR 1978824 ]

Geoffrey V. Wood — Maximal algebra norms [ MR 1978825 ]

András Zsák — On Banach spaces with small spaces of operators [ MR 1978826 ]

Artem Zvavitch — A remark on $p$summing norms of operators [ MR 1978827 ]


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This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was devoted to recent advances in theories of Banach spaces and linear operators.
Included in the volume are 25 papers, some of which are expository, while others present new results. The articles address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative \(L_p\)spaces via interpolation, Banach spaces with abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeterinvariant polyhedra, uniqueness of unconditional bases in quasiBanach spaces, dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids.
The book is suitable for graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.
Graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.

Articles

María D. Acosta, Julio Becerra Guerrero and Manuel Ruiz Galán — Characterizations of the reflexive spaces in the spirit of James’ Theorem [ MR 1978803 ]

Fernando Albiac, Nigel J. Kalton and Camino Leránoz — Uniqueness of unconditional bases in quasiBanach spaces [ MR 1978804 ]

George Androulakis — A note on the method of minimal vectors [ MR 1978805 ]

Joe Diestel, Jan Fourie and Johan Swart — The projective tensor product. I [ MR 1978806 ]

S. J. Dilworth and Vladimir G. Troitsky — Spectrum of a weakly hypercyclic operator meets the unit circle [ MR 1978807 ]

Nathan S. Feldman — The dynamics of cohyponormal operators [ MR 1978808 ]

Eva A. GallardoGutiérrez and María J. González — HilbertSchmidt composition operators on Dirichlet spaces [ MR 1978809 ]

N. J. Kalton — A remark on sectorial operators with an $H^\infty $calculus [ MR 1978810 ]

Jun Kawabe — Borel injective tensor product and convolution of vector measures and their weak convergence [ MR 1978811 ]

V. A. Khatskevich and V. S. Shulman — On linear operator pencils and inclusions of images of balls [ MR 1978812 ]

Denny H. Leung and WeeKee Tang — Ordinal indices and $l^1$spreading models [ MR 1978813 ]

Julián LópezGómez and Carlos MoraCorral — Characterizing the existence of local Smith forms for $\scr C^\infty $ families of matrix operators [ MR 1978814 ]

Nicholas McCarthy, David Ogilvie, Nahum Zobin and Veronica Zobin — Convex geometry of Coxeterinvariant polyhedra [ MR 1978815 ]

Jie Miao — Commutators on bounded symmetric domains in $\Bbb C^n$ [ MR 1978816 ]

T. L. Miller, V. G. Miller and M. M. Neumann — Growth conditions and decomposable extensions [ MR 1978817 ]

Jennifer Moorhouse and Carl Toews — Differences of composition operators [ MR 1978818 ]

Gustavo A. Muñoz — Complex vs real variables for real 3homogeneous polynomials on $l_1^2$: a counterexample [ MR 1978819 ]

Alan L. T. Paterson — The FourierStieltjes and Fourier algebras for locally compact groupoids [ MR 1978820 ]

Gabriel T. Prǎjiturǎ — Preserving the commutant under functional calculus [ MR 1978821 ]

Yves Raynaud — $L_p$spaces associated with a von Neumann algebra without trace: a gentle introduction via complex interpolation [ MR 1978822 ]

Haskell P. Rosenthal — Banach and operator space structure of $C^*$algebras [ MR 1978823 ]

Th. Schlumprecht — How many operators exist on a Banach space? [ MR 1978824 ]

Geoffrey V. Wood — Maximal algebra norms [ MR 1978825 ]

András Zsák — On Banach spaces with small spaces of operators [ MR 1978826 ]

Artem Zvavitch — A remark on $p$summing norms of operators [ MR 1978827 ]