Linear isometries of some function algebras

Rendiconti Lincei - Matematica e Applicazioni ◽

10.4171/rlm/492 ◽

2007 ◽

pp. 235-255

Author(s):

Edoardo Vesentini

Keyword(s):

Function Algebras ◽

Linear Isometries

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Real-linear isometries between function algebras

Central European Journal of Mathematics ◽

10.2478/s11533-011-0044-9 ◽

2011 ◽

Vol 9 (4) ◽

pp. 778-788 ◽

Author(s):

Takeshi Miura

Keyword(s):

Function Algebras ◽

Real Linear ◽

Linear Isometries

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Codimension 1 linear isometries on function algebras

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-99-04718-8 ◽

1999 ◽

Vol 127 (8) ◽

pp. 2273-2281 ◽

Author(s):

Jesús Araujo ◽

Juan J. Font

Keyword(s):

Function Algebras ◽

Linear Isometries

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Real-Linear Isometries and Jointly Norm-Additive Maps on Function Algebras

Mediterranean Journal of Mathematics ◽

10.1007/s00009-015-0607-2 ◽

2015 ◽

Vol 13 (4) ◽

pp. 1933-1948 ◽

Author(s):

Maliheh Hosseini ◽

Juan J. Font

Keyword(s):

Function Algebras ◽

Real Linear ◽

Additive Maps ◽

Linear Isometries

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Almost Weighted Composition Operators Between Banach Function Algebras

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-021-00543-5 ◽

2021 ◽

Author(s):

Ozra Khalilian ◽

Masoumeh Najafi Tavani

Keyword(s):

Composition Operators ◽

Weighted Composition Operators ◽

Function Algebras ◽

Weighted Composition ◽

Banach Function Algebras

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Quantun function algebras as quantum enveloping algebras

Communications in Algebra ◽

10.1080/00927879808826240 ◽

1998 ◽

Vol 26 (6) ◽

pp. 1795-1818 ◽

Author(s):

Fabio Gavarini

Keyword(s):

Enveloping Algebras ◽

Function Algebras

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On closed ideals in convergence function algebras

Mathematische Annalen ◽

10.1007/bf01350317 ◽

1969 ◽

Vol 182 (3) ◽

pp. 145-153 ◽

Author(s):

E. Binz

Keyword(s):

Function Algebras ◽

Convergence Function

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Links between cofinite prime ideals in quantum function algebras

Israel Journal of Mathematics ◽

10.1007/bf02773644 ◽

1997 ◽

Vol 100 (1) ◽

pp. 285-308 ◽

Author(s):

Ian M. Musson

Keyword(s):

Prime Ideals ◽

Function Algebras ◽

Quantum Function

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Function Algebras on Disks

Complex Variables Theory and Application An International Journal ◽

10.1080/02781070290013848 ◽

2002 ◽

Vol 47 (5) ◽

pp. 447-451 ◽

Author(s):

Quang Dieu Nguyen ◽

Peter de Paepe

Keyword(s):

Function Algebras

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Abelian groups and the Weyl approach to kinematics nonlocal function-algebras

Reports on Mathematical Physics ◽

10.1016/0034-4877(74)90053-6 ◽

1974 ◽

Vol 6 (1) ◽

pp. 169

Author(s):

Jan J. Sławianowski

Keyword(s):

Abelian Groups ◽

Function Algebras

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Diameter-preserving linear bijections of function spaces

Journal of the Australian Mathematical Society ◽

10.1017/s1446788700002378 ◽

2001 ◽

Vol 70 (3) ◽

pp. 323-336 ◽

Author(s):

T. S. S. R. K. Rao ◽

A. K. Roy

Keyword(s):

Maximal Ideal ◽

Compact Convex ◽

Extreme Points ◽

Continuous Functions ◽

Ideal Space ◽

Function Algebras ◽

Compact Convex Set ◽

Vector Valued Functions ◽

AbstractIn this paper we give a complete description of diameter-preserving linear bijections on the space of affine continuous functions on a compact convex set whose extreme points are split faces. We also give a description of such maps on function algebras considered on their maximal ideal space. We formulate and prove similar results for spaces of vector-valued functions.

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