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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 617TOPOLOGICAL SEQUENCE SPACES3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective It aims to give definition of the basic concepts related to topological sequence spaces and the classical sequence spaces and to examine the Köthe-Toeplitz duals and matrix transformations of these spaces and to investigate the boundedness and compactness of these transformations. It also aims to define new sequence space.
Course Content Linear metric spaces, Fréchet spaces, Banach spaces, Paranormed spaces, FK and BK spaces, Matrix domains, Sequence spaces of matrix domains, Hausdorff, Cesàro, Euler, Riesz, Nörlund and generalized mean matrices, Some special infinite matrices of triangles, Sequence spaces by means of these matrices, Sequence spaces of Maddox, Köthe- Toeplitz duals, Matrix transformations between these sequence spaces, Bounded linear operators, Compact operators
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learning the basic concepts of topological sequence spaces.
2 Learning the classical sequence spaces and sequence spaces of Maddox.
3Learning the investigation of Köthe-Toeplitz duals of these series spaces.
4Learning the characterization of matrix operators between sequence spaces.
5Learning the investigation of the boundedness of these operators.
6Learning the investigation of the compactness of these operators.
7Learning the introducing of a new sequence space.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
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LO 007        
Sub Total        
Contribution00000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes