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MONTHLY SEMINAR

The following talks were delivered in the department.

2024

• Operators Associated with Various Sequences
• Singular Value Decomposition and Applications

2023

• Strassen Algorithm
• Spectrum of a Closed Operator
• Douglas Solution of an Operator Equation
• On Unbounded Linear Operators

2022

• Multiplicative Linear Functionals on a Banach Algebra
• Spectral Theorem for Compact Self-Adjoint Operators
• Iterative Methods for Moore-Penrose Inverse
• Existence of Generalized Inverse: Ten Proofs and Some Remarks
• Frame Graph
• Equivalence of grand theorems of functional analysis (without the use of the Baire category theorem)
• Complexification
• Parseval Frames
• General Frames and Operator Representations of Them
• Hyers-Ulam stability of a closed operator in a Hilbert space
• The Arzela-Ascoli Theorem
• Injectivity of Linear Combinations in B(H)
• Spectral Results for Compact Operators
• Continued Fractions - An Introduction
• An Introduction to Everywhere Continuous, Nowhere Differentiable Functions
• Projection Methods for Solving Linear Systems of Equations

2021

• Applications of Linear Algebra in Various Fields (Part-1)
• Connectedness in Metric Space
• Hyers-Ulam Stability for Linear Operators on Banach Spaces
• Closed EP and Hypo-EP Operators on Hilbert Spaces
• Square Roots of Positive Operators
• Weierstrass Theorem and Some Generalizations
• Control Theory of Linear Systems
• An Introduction to Von Neumann Algebras
• Kaplansky Density Theorem
• Contraction Semigroups on Hilbert Spaces
• Numerical Range of Operators acting on Hilbert Spaces
• (α, β)-Normal Operators in Hilbert Spaces

2020

• Norm-Attaining Operators
• Three-Space Property on Normed Spaces
• Uniform Continuity
• Finite Frames
• On the Uniform Ergodic Theorem
• Zabreiko’s Lemma and Four Fundamental Theorems of Functional Analysis
• Uniform Boundedness Principle
• Operator Matrix Representations of Inner and Outer Inverses
• Determinants - an overview

2019

• Adjoint of an Operator
• An Introduction to Unbounded Operators
• Adjoint of Unbounded Operators
• Compact Operators
• Douglas Theorem
• Fredholm Alternative
• Generalized Inverse
• Quotient of Operators
• Nets in Topology
• Topology Induced by Families of Functions
• Weak Topology
• Weak* Topology