In general, x^n represents the n-th power of x in X (i.e., x multiplied by itself n times) is meaningless. Becaues there is no product in Banach space X.
In fact, this theory is well established. You can find a nice introduction to this topic, for example, in
Article Polynomials and geometry of Banach spaces
Thanks
I want to know more about Uranium ore deposits in world.
11 August 2024 6,719 0 View
I want to know more about diamond ore deposits in world.
11 August 2024 2,167 1 View
We assume that the difference is huge and that it is not possible to compare the two spaces. The R^4 mathematical space considers time as an external controller and the space itself is immobile in...
10 August 2024 6,676 14 View
If Banks do not provide credit facility, what are the options available for FPOs and impact on producer’s income?
10 August 2024 8,197 5 View
What are a “Farmers Producer Organization” (FPO) and its essential features?
10 August 2024 476 5 View
I used eye tracking to examine how participants from two different populations (A and B) react to an image. Participants in population A exhibit larger pupil sizes over time, but they also have...
10 August 2024 3,229 0 View
I have been doing the m6A dot blot for a while with no improvement, I am extracting the RNA, and I can see the dots although the three biological replicas give a different reading on the memberan...
10 August 2024 8,537 5 View
How do interactions between the biosphere, the carbon cycle, and the water cycle impact global warming and interaction between the atmosphere and the hydrosphere?
09 August 2024 3,290 2 View
I have input a moment load in module load Abaqus, i put my moment load on the node surface (using reference point). I have define moment in history output and make a set for moment too. But the...
08 August 2024 4,831 4 View
How is energy cycled through the Earth's climate system and how do matter cycle and energy flow through the rock cycle?
08 August 2024 8,160 0 View
Relativistic space-time is described as a four-dimensional continuum comprising three dimensions of space and one dimension of time. In this framework, space and time are interwoven, forming an...
29 July 2024 5,365 2 View
In the setting of Banach spaces, it is well know that if $M$ is a closed subspace of a Banach space $X$ and $F$ is a finite dimensional subspace of $X$, then $M+F$ is closed. Does a Banach...
16 July 2024 8,436 4 View
Previously, I successfully modelled the transmission and reflection of electromagnetic waves incident on non-magnetic materials. Please refer to my publications for details: 1- A polynomial model...
05 July 2024 1,396 2 View
I utilized a Bayesian state space model to analyze the data. The 95% confidence interval, which ranges from 0.0 to 1.2, prompts the question: Is the regression coefficient significantly different...
01 July 2024 9,575 2 View
Dear All, Does anyone know how we can define polynomial CZM in Abaqus? Please help me out. Thank you
01 July 2024 2,759 2 View
Doing a Google search brings up the statement (Schrödinger's equation and the duality diffusion equations are equivalent. In turn, Schrödinger's 1931 conjecture is solved.). The above statement is...
25 June 2024 9,791 4 View
My research plan: First, via literature review and on-site investigation, summarize public space elements. Then, learn from literature that place attachment theory has two factors: place...
08 June 2024 3,808 0 View
Hello, Could some one help me by recommending papers or books that handle modelling and control 6-switches 3-phase PFC, i.e. state space or tranfer function models, and various control techniques...
29 May 2024 9,407 0 View
book or article
20 May 2024 2,487 3 View
I am currently doing my thesis on FSO, to calculate the weather attenuation I need the FOG and visibility data of Bangladesh. Ideally, I need historical fog and visibility data for Bangladesh....
17 May 2024 1,954 0 View