I was reading about Hilbert Spaces and I found it very interesting. I would Like to further understand and study them. I am still a first year undergraduate student and in my university that is only taught later on in Functional Analysis, but I allays enjoyed to learn new things and expand my mathematical knowledge by my self. Right now I know:
- Linear Algebra
- Real Analysis
- Multivariable Calculus
- Vector Calculus
- Complex Analysis
Is this enough for my to start studying Hilbert spaces? If not, what else do I need to learn first? I do think that I could grasp the more superficial concepts with the things I know right now, but my objective is to get a good and solid understanding of the topic.