Functional Analysis

Course Information
TitleΣΤΟΙΧΕΙΑ ΣΥΝΑΡΤΗΣΙΑΚΗΣ ΑΝΑΛΥΣΗΣ / Functional Analysis
Code0232
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CommonNo
StatusActive
Course ID40000498

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 66
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specializationSpring-5.5

Class Information
Academic Year2019 – 2020
Class PeriodSpring
Instructors from Other Categories
Weekly Hours3
Class ID
600147708
Type of the Course
  • Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
  • English (Examination)
Prerequisites
Required Courses
  • 0204 Topology of Metric Spaces
  • 0207 Introduction to Real Analysis
Course Content (Syllabus)
Metric spaces, the theorem of Baire. Normed linear spaces, Banach spaces - Finite dimensional spaces, compactness - Inner product spaces, Hilbert spaces - Linear operators and linear functionals - Duality - The Hahn-Banach theorem - The principle of uniform boundedness - The open mapping and closed graph Theorems.
Educational Material Types
  • Notes
  • Book
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures391.3
Reading Assigment1234.1
Exams30.1
Total1655.5
Student Assessment
Student Assessment methods
  • Written Exam with Extended Answer Questions (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Στοιχεία Συναρτησιακής Ανάλυσης, Χ. Καρυοφύλλης, Εκδ. Ζήτη, 1995 - Γενική Τοπολογία και Συναρτησιακή Ανάλυση, Σ. Νεγρεπόντης- Θ. Ζαχαριάδης-Ν. Καλαμίδας-Β. Φαρμάκη, Εκδ. Αθανασόπουλος,1997 - Συναρτησιακή Ανάλυση, Haim Brezis, Εκδ. ΕΜΠ, 1997
Last Update
15-03-2020