An F-space Sampler

N. J. Kalton; N. T. Peck; James W. Roberts

doi:10.1017/CBO9780511662447

This book presents a theory motivated by the spaces LP, 0 ≤ p < l. These spaces are not locally convex, so the methods usually encountered in linear analysis (particularly the Hahn–Banach theorem) do not apply here. Questions about the size of the dual space are especially important in the non-locally convex setting, and are a central theme. Several of the classical problems in the area have been settled in the last decade, and a number of their solutions are presented here. The book begins with concrete examples (lp, LP, L0, HP) before going on to general results and important counterexamples. An F-space sampler will be of interest to research mathematicians and graduate students in functional analysis.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

An F-space Sampler

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-vi

PREFACE
pp vii-xii

CHAPTER ONE - PRELIMINARIES
pp 1-14

CHAPTER TWO - SOME OF THE CLASSICAL RESULTS
pp 15-32

CHAPTER THREE - HARDY SPACES
pp 33-58

CHAPTER FOUR - THE HAHN-BANACH EXTENSION PROPERTY
pp 59-80

CHAPTER FIVE - THREE SPACE PROBLEMS
pp 81-108

CHAPTER SIX - LIFTING THEOREMS
pp 109-121

CHAPTER SEVEN - TRANSITIVE SPACES AND SMALL OPERATORS
pp 122-163

CHAPTER EIGHT - OPERATORS BETWEEN Lp SPACES, 0 < p < 1
pp 164-197

CHAPTER NINE - COMPACT CONVEX SETS WITH NO EXTREME POINTS
pp 198-219

CHAPTER TEN - NOTES ON OTHER DIRECTIONS OF RESEARCH
pp 220-225

LIST OF REFERENCES
pp 226-237

GLOSSARY OF TERMS
pp 238-240

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

An F-space Sampler

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information