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Mezban Habibi

Payame Noor University (PNU), Mathematics, Faculty Member

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Looking for mathematics Job position in European countries, Canada or USA.
Mathematics PhD student, Experienced Teacher from 1993,
Head of mathematics department of Fars province education organisation from 2013, Shiraz, Fars, Iran,
Mathematical analysor & Researcher.
Supervisors: B. Yousefi, A. Rezaei, A. Khahsari, and S. M. VaezPour

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Papers by Mezban Habibi

Short Proofs for Pythagorean Theorem

The Pythagorean Theorem can be introduced to students during the middle school years. This theore... more The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a 2 = b 2 + c 2 and plugging numbers into the formula.

تست کنکور - مبحث تعریف مشتق و مشتق تابع

تست کنکور - مبحث دنباله ها - بخش دوم

A short view for history of Mathematics - In persian

تست کنکور - دنباله - بخش اول

تست کنکور - سوالات مرتبط با مبحث توابع خاص

Hypercyclic Tuples on Hilbert Spaces

Topological vector spaces

تست کنکور - سوالات مرتبط با مبحث توابع

Syndetically Hypercyclic Pairs

Abstract. Let F be a topological vector space and T1, T2 be two continu-ous maps on F, and T = (T... more

∞-Tuples of Bounded Linear Operators on Banach Space

In this paper, we introduce for an ∞-tuple of bounded linear opera-tors on a Banach space and som... more

N-Tuples and Hypercyclicity on Functional spaces With Viewpoint on Hardy spaces

ABSTRACT

Conditions for Reflexivity on Some Sequence Spaces

In this paper we will give sufficient conditions for the multipliction operator M z to be reflexi... more

Syndetically hypercyclic pairs

Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T ... more Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T 1 ,T 2 is called a hypercyclic pair if there exists a vector x in X such that the orbit of x under T is dense in X. A pair T=T 1 ,T 2 on a space X is called syndetically hypercyclic if for any syndetic sequences of positive integers m k k=1 ∞ and n j j=1 ∞ , the sequence T 1 m k T 2 n j :X→X k,j is hypercyclic and the pair T is called weakly mixing if, for all open nonempty subsets U,V 1 ,V 2 of X, there exists m,n∈ℕ such that T 1 m T 2 n U∩V i ≠∅ for i=1,2. The authors of the paper under review give necessary and sufficient conditions for T being a syndetically hypercyclic pair.

$Research paper thumbnail of On syndetically hypercyclic \infty-tuples$

On syndetically hypercyclic \infty-tuples

International Journal of Mathematical Analysis, 2014

Short Proofs for Pythagorean Theorem (Notes in Geometry, Part 1)

International Mathematical Forum, 2010

... (MQ + NP) × MN 2 = MD × MQ 2 + ND × NP 2 + 1 2 PD2 ... [9] JB Kennedy, Plato's Forms, Py... more

Short Proofs for Pythagorean Theorem

Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. T... more Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a2 = b2+ c2 and plugging numbers into the formula.

Density and Independently on H bc (E)

The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the re... more The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the results of their theorems and hypercyclic operators on space H(C). In Birhoffs theorem is shown that, if b is non-zero, then the shift with the vector b is an hypercyclic operator. Maclane in 1952 showed that the Differentiation operator on H(C) is an hypercyclic operator. Bourdon and Shapiro also studied the behavior of composition operators on this space. For more information reader can see

Semi-Periodic ∞-Tuples

In this paper, we introduce semi-periodic ∞-Tuples of commutative bounded linear mappings on a se... more

On Syndetically Hypercyclic ∞-Tuples

AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weight... more AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weighted shifts to be Syndetically Hypercyclic. Mathematics Subject Classiﬁcation:.47A16, 47B37.Keywords: Syndetically tuple, Hypercyclic tuple, Hypercyclic vector, Hy-percyclicity Criterion, Syndetically Hypercyclic 1 Introduction Let B beaBanach spaceand T 1 , T 2 , ... arecommutative boundedlinear mappingon B , the ∞ -tuple T is an inﬁnity component ( T 1 ,T 2 ,... ), for each x ∈B deﬁned T ( x )= T 1 k 1 ,j T 2 k 2 .j ... ( x )= Sup n {T 1 1 T 2 k 2 ...T nk n ( x ): n ∈ N,k j ≥ 0 ,j =1 , 2 , 3 ,...,n}. Let π T = {T 1 k 1 T 2 k 2 ... : k i ≥ 0 ,i =1 , 2 , 3 ,...} be thesemigroup generated by T , for x ∈B take Orb ( T ,x )= {Sx : S ∈ π T } = {T 1 k 1 ,j T 2 k 2 .j ... ( x ): k i,j ≥ 0 ,i =1 , 2 ,...} . The set Orb ( T ,x ) is called, orbit ofvector x under T and ∞ -Tuple T =( T 1 ,T 2 ,... ) is called hypercyclic ∞ -tuple ifthe set Orb ( T ,x ) is dense in B . Strictly increasing sequence of...

Short Proofs for Pythagorean Theorem

The Pythagorean Theorem can be introduced to students during the middle school years. This theore... more The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a 2 = b 2 + c 2 and plugging numbers into the formula.

تست کنکور - مبحث تعریف مشتق و مشتق تابع

تست کنکور - مبحث دنباله ها - بخش دوم

A short view for history of Mathematics - In persian

تست کنکور - دنباله - بخش اول

تست کنکور - سوالات مرتبط با مبحث توابع خاص

Hypercyclic Tuples on Hilbert Spaces

Topological vector spaces

تست کنکور - سوالات مرتبط با مبحث توابع

Syndetically Hypercyclic Pairs

Abstract. Let F be a topological vector space and T1, T2 be two continu-ous maps on F, and T = (T... more

∞-Tuples of Bounded Linear Operators on Banach Space

In this paper, we introduce for an ∞-tuple of bounded linear opera-tors on a Banach space and som... more

N-Tuples and Hypercyclicity on Functional spaces With Viewpoint on Hardy spaces

ABSTRACT

Conditions for Reflexivity on Some Sequence Spaces

In this paper we will give sufficient conditions for the multipliction operator M z to be reflexi... more

Syndetically hypercyclic pairs

Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T ... more Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T 1 ,T 2 is called a hypercyclic pair if there exists a vector x in X such that the orbit of x under T is dense in X. A pair T=T 1 ,T 2 on a space X is called syndetically hypercyclic if for any syndetic sequences of positive integers m k k=1 ∞ and n j j=1 ∞ , the sequence T 1 m k T 2 n j :X→X k,j is hypercyclic and the pair T is called weakly mixing if, for all open nonempty subsets U,V 1 ,V 2 of X, there exists m,n∈ℕ such that T 1 m T 2 n U∩V i ≠∅ for i=1,2. The authors of the paper under review give necessary and sufficient conditions for T being a syndetically hypercyclic pair.

$Research paper thumbnail of On syndetically hypercyclic \infty-tuples$

On syndetically hypercyclic \infty-tuples

International Journal of Mathematical Analysis, 2014

Short Proofs for Pythagorean Theorem (Notes in Geometry, Part 1)

International Mathematical Forum, 2010

... (MQ + NP) × MN 2 = MD × MQ 2 + ND × NP 2 + 1 2 PD2 ... [9] JB Kennedy, Plato's Forms, Py... more

Short Proofs for Pythagorean Theorem

Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. T... more Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a2 = b2+ c2 and plugging numbers into the formula.

Density and Independently on H bc (E)

The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the re... more The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the results of their theorems and hypercyclic operators on space H(C). In Birhoffs theorem is shown that, if b is non-zero, then the shift with the vector b is an hypercyclic operator. Maclane in 1952 showed that the Differentiation operator on H(C) is an hypercyclic operator. Bourdon and Shapiro also studied the behavior of composition operators on this space. For more information reader can see

Semi-Periodic ∞-Tuples

In this paper, we introduce semi-periodic ∞-Tuples of commutative bounded linear mappings on a se... more

On Syndetically Hypercyclic ∞-Tuples

AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weight... more AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weighted shifts to be Syndetically Hypercyclic. Mathematics Subject Classiﬁcation:.47A16, 47B37.Keywords: Syndetically tuple, Hypercyclic tuple, Hypercyclic vector, Hy-percyclicity Criterion, Syndetically Hypercyclic 1 Introduction Let B beaBanach spaceand T 1 , T 2 , ... arecommutative boundedlinear mappingon B , the ∞ -tuple T is an inﬁnity component ( T 1 ,T 2 ,... ), for each x ∈B deﬁned T ( x )= T 1 k 1 ,j T 2 k 2 .j ... ( x )= Sup n {T 1 1 T 2 k 2 ...T nk n ( x ): n ∈ N,k j ≥ 0 ,j =1 , 2 , 3 ,...,n}. Let π T = {T 1 k 1 T 2 k 2 ... : k i ≥ 0 ,i =1 , 2 , 3 ,...} be thesemigroup generated by T , for x ∈B take Orb ( T ,x )= {Sx : S ∈ π T } = {T 1 k 1 ,j T 2 k 2 .j ... ( x ): k i,j ≥ 0 ,i =1 , 2 ,...} . The set Orb ( T ,x ) is called, orbit ofvector x under T and ∞ -Tuple T =( T 1 ,T 2 ,... ) is called hypercyclic ∞ -tuple ifthe set Orb ( T ,x ) is dense in B . Strictly increasing sequence of...