An Illustrative Introduction to Modern Analysis
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Published By Chapman And Hall/CRC

9781315195865
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Solutions to the exercises

2018 ◽  
pp. 449-532
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă

Functional properties of the Lebesgue spaces

2018 ◽  
pp. 429-447
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă
Keyword(s):  
Functional Properties ◽  
Lebesgue Spaces

Weak topologies on Banach Spaces

2018 ◽  
pp. 379-402
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă
Keyword(s):  
Banach Spaces ◽  
Weak Topologies

Sets, mappings, countability and choice

2018 ◽  
pp. 1-17
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă

The Lebesgue measure on the Euclidean space

2018 ◽  
pp. 151-185
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă
Keyword(s):  
Euclidean Space ◽  
Lebesgue Measure

Compactness and sequential compactness

2018 ◽  
pp. 119-150
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă
Keyword(s):  
Sequential Compactness

Inner Product Spaces and Hilbert Spaces

2018 ◽  
pp. 301-332
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă
Keyword(s):  
Hilbert Spaces ◽  
Inner Product ◽  
Product Spaces ◽  
Inner Product Spaces

The class of Lebesgue functional spaces

2018 ◽  
pp. 263-299
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă

The Lebesgue integration theory

2018 ◽  
pp. 221-262
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă
Keyword(s):  
Integration Theory ◽  
Lebesgue Integration

Measure theory on general spaces

2018 ◽  
pp. 187-220
Author(s):  
Nikos Katzourakis ◽  
Eugen Vărvărucă
Keyword(s):  
Measure Theory
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