Spaces of linear isometries and technical theorems

2007 ◽  
pp. 197-207
Author(s):  
A. Elmendorf ◽  
I. Kriz ◽  
M. Mandell ◽  
J. May
Keyword(s):  
Linear Isometries

scholarly journals Extremely Strong Boundary Points and Real-linear Isometries

2015 ◽  
Vol 38 (2) ◽  
pp. 477-490 ◽  
Author(s):  
Arya JAMSHIDI ◽  
Fereshteh SADY
Keyword(s):  
Boundary Points ◽  
Real Linear ◽  
Linear Isometries

scholarly journals Real-linear isometries between subspaces of continuous functions

2014 ◽  
Vol 413 (1) ◽  
pp. 229-241 ◽  
Author(s):  
Hironao Koshimizu ◽  
Takeshi Miura ◽  
Hiroyuki Takagi ◽  
Sin-Ei Takahasi
Keyword(s):  
Continuous Functions ◽  
Real Linear ◽  
Linear Isometries

scholarly journals On linear isometries and ε-isometries between Banach spaces

2016 ◽  
Vol 435 (1) ◽  
pp. 754-764 ◽  
Author(s):  
Yu Zhou ◽  
Zihou Zhang ◽  
Chunyan Liu
Keyword(s):  
Banach Spaces ◽  
Linear Isometries

What are the linear isometries of 1p/n?

1991 ◽  
Vol 22 (6) ◽  
pp. 945-951
Author(s):  
Rohan Hemasinha ◽  
James R. Weaver
Keyword(s):  
Linear Isometries

Function spectra

1990 ◽  
Vol 108 (1) ◽  
pp. 31-34 ◽  
Author(s):  
A. D. Elmendorf
Keyword(s):  
Homotopy Theory ◽  
Possible Worlds ◽  
Stable Homotopy ◽  
Stable Category ◽  
Stable Homotopy Theory ◽  
Closed Category ◽  
Monoidal Structure ◽  
Linear Isometries

Boardman's stable category (see [5]) is a closed category ([4], VII·7), and in the best of all possible worlds, the category of spectra underlying the stable category would be closed as well; this would make life considerably easier for those doing calculations in stable homotopy theory. Unfortunately none of the categories of spectra introduced to date are closed; only S, the category introduced in [2], is even symmetric monoidal. The problem with making S closed is that it comes equipped with an augmentation to I, the category of universes and linear isometries (called Un in [2]), which preserves the symmetric monoidal structure. Since I is not closed, this makes it difficult to see how S might be closed.

LINEAR SURJECTIVE ISOMETRIES BETWEEN VECTOR-VALUED FUNCTION SPACES

2016 ◽  
Vol 100 (3) ◽  
pp. 349-373 ◽  
Author(s):  
KAZUHIRO KAWAMURA
Keyword(s):  
Continuous Function ◽  
Extreme Point ◽  
Function Spaces ◽  
Point Method ◽  
Vector Valued Function ◽  
Vector Valued ◽  
Stone Type ◽  
Linear Isometries

We prove some Banach–Stone type theorems for linear isometries of vector-valued continuous function spaces, by making use of the extreme point method.

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