Ji-Pu Ma

activity

20032020

most citedComplete Rank Theorem in Advanced Calculus and Frobenius Theorem in Banach Space

2 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

math.FA2020

Five Theorems on Splitting Subspaces and Projections in Banach Spaces and Applications to Topology and Analysis in Operators

Jipu Ma

Let $B (E, F)$ denote the set of all bounded linear operators from $E$ into $F$ , and $B^{+} (E, F)$ the set of double splitting operators in $B (E, F)$ . When both $E, F$ are infinite dimens…

math.FA2020

Frobenius Theorem and a Principle for Critical Point under the Constraint of $C^{1}$ Submanifold in Banach Spaces

Jipu Ma

In this paper, we establish the Frobenius Theorem and a Principle for Critical Point under the Constraint of $C^{1}$ Submanifold in Banach Spaces.

math.FA2018

Frobenius Theorem in Banach Space and Generalized Inverse Analysis Method of Operators Under Small Perturbations

Jipu Ma

Let $Λ$ be an open set in Banach space $E$ , $M (x)$ for $x \in Λ$ be a subspace in $E$ , and $x_{0}$ be a point in $Λ$ . We consider the family $F = {M (x) : \forall x \in Λ}$ , but…

math.FA2017

Some Rules of Elementary Transformation in $B^{+} (E, F)$ and their applications

Jipu Ma

In this paper, some rules of elementary transformation in $B^{+} (E, F)$ are presented. Then we give some applications to topology and analysis for operators.

math.FA2014★ 2 cited

Complete Rank Theorem in Advanced Calculus and Frobenius Theorem in Banach Space

Jipu Ma

The application of generalized inverses is usually neglected in pure mathematical research. However, it is very effective for this paper. We expand the famous matrix rank theorem d…

math.FA2011

A Geometry Characteristic for Banach Space with $c^{1}$ -Norm

Jipu Ma

Let $E$ be a Banach space with the $c^{1}$ -norm $∥ \cdot ∥$ in $E \ {0}$ and $S (E) = {e \in E : ∥ e ∥ = 1} .$ In this paper, a geometry characteristic for $E$ is presented by…

Five Theorems on Splitting Subspaces and Projections in Banach Spaces and Applications to Topology and Analysis in Operators

Frobenius Theorem and a Principle for Critical Point under the Constraint of C1 Submanifold in Banach Spaces

Frobenius Theorem in Banach Space and Generalized Inverse Analysis Method of Operators Under Small Perturbations

Some Rules of Elementary Transformation in B+(E,F) and their applications

Complete Rank Theorem in Advanced Calculus and Frobenius Theorem in Banach Space

A Geometry Characteristic for Banach Space with c1-Norm

Frobenius Theorem and a Principle for Critical Point under the Constraint of $C^{1}$ Submanifold in Banach Spaces

Some Rules of Elementary Transformation in $B^{+} (E, F)$ and their applications

A Geometry Characteristic for Banach Space with $c^{1}$ -Norm